How Trump Could Make Larry Ellison the Next Media Mogul

For decades, Larry Ellison reveled in being the Silicon Valley executive who really knew how to have a good time. He spent as much as $200 million building a Japanese-inspired imperial villa near Palo Alto, Calif., bought the sixth-largest Hawaiian island and dated and married and divorced with never-ending zeal.

Few paid much attention to exactly what his database company, Oracle, did. Sometimes, neither did Mr. Ellison. He did not show up for his keynote talk at Oracle’s annual convention…