1. To move into some position or status with remarkable speed. With three goals in quick succession, the underdog team suddenly skyrocketed into the lead. The singer skyrocketed into the limelight this year with the huge success of his debut album.

2. To move someone or something into some position or status with remarkable speed. In this usage, a noun or pronoun is used between "skyrocket" and "into." The incredible sales of the company's newest product has skyrocketed them into a position of market dominance. The huge growth of her wealth over the past year skyrocketed her into the top ten list of the most wealthy individuals.