A company was a type of business.
The 20th century Earth company known as International Electromatics was founded by Tobias Vaughn. When the Cybermen planned their invasion of Earth, they struck a deal with Vaughn: that the world was to be put under Cyber control, through the micro-monolithic circuits, and then Vaughn would become the ruler of Earth. The Second Doctor stopped the Cybermen's plan. (TV: The Invasion) By the 24th century, the company had changed its name to INITEC. (PROSE: Original Sin)
The Eternity Perpetual Company of planet Umbeka created products so longlasting that they went out of business. Before that happened, they produced the everlasting power generators used in Miniscopes (TV: Carnival of Monsters) and Promethean Everlasting Matches. (PROSE: The Cabinet of Light)
In the early 22nd century, Dom Issigri, having become rich prospecting for argonite, founded the Issigri Mining Company. (TV: The Space Pirates) Only a few years later, the Issigri Mining Company was renamed the Interplanetary Mining Corporation, or IMC for short. (PROSE: The Menagerie)
When Charles Bruderbakker's wife Joan, who was brainwashed by the Autons, tried to get Charles to sign over control of his company to Walter J. Matheson, he refused. She then killed him and his signature on the transferral documents was faked. (PROSE: Synthespians™)