The Propoetides are in Greek mythology

Greek mythology

Greek mythology is the body of myths and legends belonging to the ancient Greeks, concerning their gods and heroes, the nature of the world, and the origins and significance of their own cult and ritual practices. They were a part of religion in ancient Greece...

 the daughters of Propoetus from the city of Amathus

Amathus

Amathus was one of the most ancient royal cities of Cyprus, on the southern coast in front of Agios Tychonas, about 24 miles west of Larnaca and 6 miles east of Limassol...

 on the island of Cyprus

Cyprus

Cyprus , officially the Republic of Cyprus , is a Eurasian island country, member of the European Union, in the Eastern Mediterranean, east of Greece, south of Turkey, west of Syria and north of Egypt. It is the third largest island in the Mediterranean Sea.The earliest known human activity on the...

. In Roman literature they are treated by Ovid

Ovid

Publius Ovidius Naso , known as Ovid in the English-speaking world, was a Roman poet who is best known as the author of the three major collections of erotic poetry: Heroides, Amores, and Ars Amatoria...

 in his Metamorphoses (book 10.238 ff.):

"Nevertheless, the immoral Propoetides dared to deny that Venus was the goddess. For this, because of her divine anger, they are said to have been the first to prostitute their bodies and their reputations in public, and, losing all sense of shame, they lost the power to blush, as the blood hardened in their cheeks, and only a small change turned them into hard flints."

The story of Venus

Venus (mythology)

Venus is a Roman goddess principally associated with love, beauty, sex,sexual seduction and fertility, who played a key role in many Roman religious festivals and myths...

 and her vengeance on the Propoetides for failing to worship her properly is a common theme in a number of stories and poems written about the goddess.

According to Ovid, after seeing the Propoetides prostituting themselves, Pygmalion

Pygmalion (mythology)

Pygmalion is a legendary figure of Cyprus. Though Pygmalion is the Greek version of the Phoenician royal name Pumayyaton, he is most familiar from Ovid's Metamorphoses, X, in which Pygmalion was a sculptor who fell in love with a statue he had carved.-In Ovid:In Ovid's narrative, Pygmalion was a...

determined that he was 'not interested in women'. This drove him to create a woman of his own in statue form, with whom he then fell in love.