Did hercules ride a pegasus?

In Greek mythology, Pegasus was a winged horse that was the son of Poseidon and the Gorgon Medusa. Pegasus was said to be the horse of the Muses. He was also the bringer of thunderbolts for Zeus. Pegasus was first seen in Homer's Iliad, when he brought Zeus his thunderbolts during the battle between the Greeks and the Trojans. Pegasus was also seen in Hesiod's Theogony. Pegasus was said to have been born from the blood of Medusa when she was killed by Perseus. Pegasus aided Perseus in his quest to kill the Gorgon, and then flew him back to his home on Mount Olympus. Pegasus was also the horse of Bellerophon. Bellerophon tamed Pegasus with the help of Athena, and used him to defeat the Chimera. Bellerophon later attempted to fly to Mount Olympus on Pegasus, but was thrown off when Zeus became angry with him. Pegasus was also said to have create the fountain of Hippocrene with a strike of his hoof. There are many stories and legends about Pegasus, but it is uncertain if he actually existed.