Apple is currently flirting with a position as the most valuable corporation in the world, periodically exchanging positions with Exxon Mobil, according to Reuters. At one point on Tuesday Apple's market capitalization was tracked at $341.5 billion, versus Exxon's $341.4 billion. Although Exxon has slipped back ahead from time to time, Apple remains in the lead as of this writing at $338.66 billion versus Exxon's $336.6 billion.