Well, assuming that all people are roughly the same as each other, the answer would be to adopt traditions and systems from countries that aren't corrupt. Attempt the sisyphean task of convincing people that giving power to the middle class is going to lead to a better future.
As your comment reveals, the instinct when confronted with corruption is ... centralise power and try to force it to be used for good. That doesn't work, so try to convince people to decentralise power. Political and bureaucratic elites are regularly revealed to be corrupt, so stop making them the bottleneck for handing out the "allowed to run a business!" stamp. Centralising power just gives corrupt people a target to aim for and increases the blast radius when they worm their way in to a position.
How you convince people to do the sensible thing and decentralise power is beyond me though. The instinct to push power to a single leader is remarkably strong in humans.