Generating a SHA256 Hash from another Hash

Hello,
      First off I am a complete noob at all of this and know very little about SHA256 Hash and have been trying to read up and learn what I can about it. I have read that SHA256 Hash are very hard to crack and was curious if it would be a good idea to generate a hash from a hash. Since it would be just as random and it would be 64 char that would have to be figured out seems like it would be unbreakable to me. Or am I mistaking? Would generating a hash from another hash be easy to crack since you knew which char the first hash generated? Hopefully this makes sense.

Example of what I am talking about.

Starting Hash

bc6f622525292996fbd592a1dcdaf7de33c8f2983d223a62a34f13d36390c05f

Then using the above hash to generate this hash.

72b9552553f31ee99d8a3b37c4150dd8966d487b47d1cfd0eabed80b2cc9f355

Then using the above hash to generate this hash.

154fd351815b5350bb99a98b1948d14eb7bb0c503a2f216e3c7e15af953df406

Is this a strong way to protect your hashes or easily reverse since you know which characters are being used to produce the following hash?