If you want to know more about the history of Airbnb, you may find "How I Build This" podcast interesting.
If you only want to know how to build mobile app, there are plenty of free courses on edx.org.
Jackson recommends the following next steps:
Something that some of these other answers are not mentioning is that there are thousands of apps on the app store that are very successful that don't necessarily require the same level of behind the scenes infrastructure to support it. If you have a good idea, the barrier to entry to build an app and submit it to the app store is reasonably low. You can learn to build an app from YouTube and if you have your eyes set on building the next billion dollar app company, you should probably learn some of the basics first.
You can learn how to make something similar by following many of the free courses offered online, but without the help of investors or venture capitalist to raise money will be very difficult to grow that fast, specially if you are looking to enter in an already crowded market, but if you try to make something that no one else have tried before you may have a chance, but if you are not able to grow as fast as you need someone else will copy you and make it bigger if they have more funding/support than you, that's why you will see new start-ups trying to target as many markets as they can with big budget to see if they can succeed, like UBER, AirBnB, etc.