In Percy Jackson and The Sea on Monster, what's the setting?

The setting in the story is set in a current time frame but there is a lot of ancient Greek mythology that is tied into the story. There will be stories given by other characters in the story, or remembrances that Percy has in order to tie the stories in for the reader. An example of this is given when Percy and Annabeth get to the island where Polyphemus lives. The characters in the story recount the run in that the cyclops had with Odysseus and how it was the name "Nobody" that was given when the cyclops' eye was injured. Annabeth uses this name to make Polyphemus angry and give her friends a chance to escape.

There are aspects of the ancient Greek mythology that are changed in order to tie them into current time settings, such as Circe changes her name to C.C. and the men that she had turned into pigs in the original tale are now guinea pigs. Also the Sea of Monsters that the group is traveling to Annabeth explains that the place is somewhere that planes and boats would go missing without explanation. This place is known as the Bermuda Triangle.