The squatting position, otherwise known as “Rice Paddy Prone,” isn't as common as it once was. It is a moderate stability position that supports both elbows, making it more stable than kneeling yet keeping a high level of mobility.
If you're new to shooting, you probably haven't been exposed to a proper shooting sling. The shooting sling is one of the most helpful tools for better marksmanship. It practically doubles my accuracy capability.