His company, Space Exploration Technologies (or "SpaceX"), is developing a rocket called Falcon 1.

FORBES: The New Space Race

Next week, Space Exploration Technologies plans to test-fly a space capsule called Dragon.

MSN: Win a Free Trip to Space

It also is timed to woo privately owned Space Exploration Technologies, or SpaceX, to build its third launch site in Florida.

MSN: Florida wants NASA land for commercial spaceport

Bigelow, who launched a small prototype of the module in 2006 after licensing the patent from NASA, will rely on Boeing Co. and Southern California rocket developer Space Exploration Technologies to provide transportation.

NPR: Space Station To Get $18 Million Balloon-Like Room

SpaceX Space Exploration Technologies Corp.

NPR: SpaceX Dragon Cargo Ship Leaves Space Station