Yes, he did ride through the waves. Though being part Titan he was bigger than an average human in a chariot pulled by sea life.
A... chariot.
So he could ride his chariot over the clouds.
William Smith
It means that your ride is ready - a chariot is a wheeled cart pulled by horses. You can use the term to mean any sort of ride.
In Greek art, Poseidon rides a chariot that was pulled by a hippocampus or by horses that could ride on the sea. He was associated with dolphins and three-pronged fish spears (tridents). He lived in a palace on the ocean floor, made of coral and gems.
As Queen of the Underworld, she could ride in anything: Hades had horses and chariot.
A chariot drawn by horses.
Kapi Dhwaja (The Chariot With Monkey Lord, Hanumana on it's flag)
So that he could ride it in the afterlife.
He liked to play the lyre and ride in his sun chariot
You must be at least 52" tall to ride Apollo's Chariot.
Ride the waves!