The phrase "to cross the ocean" means to travel from one side of a large body of water, such as the Atlantic or Pacific Ocean, to the other side. Full definition
In fact, this is true not only of the global steel industry, but of most of the heavy manufacturing that has crossed the ocean in pursuit of cheap labor. (jeffrubinssmallerworld.com)
For trips that don't cross the ocean, travellers can also opt to go by car, bus or train, each offering its own price - to - value variations. (canadianbusiness.com)
His calculations were wrong, yes, but he still crossed an ocean on a round planet and hit a giant island, just like he guessed he would. (religion.blogs.cnn.com)