Finding the Third Proportional to 32,298,129,544,624 and 69,494,866,839,339

Step by Step Solution

1. Step 1: Write the proportion equation
   32,298,129,544,624 : 69,494,866,839,339 = 69,494,866,839,339 : x
2. Step 2: Convert to fraction form
   32,298,129,544,624/69,494,866,839,339 = 69,494,866,839,339/x
3. Step 3: Cross multiply
   32,298,129,544,624x = 69,494,866,839,339 × 69,494,866,839,339
4. Step 4: Simplify right side
   32,298,129,544,624x = 4,829,536,517,017,459,621,191,745,536
5. Step 5: Solve for x
   x = 4,829,536,517,017,459,621,191,745,536/32,298,129,544,624
6. Step 6: Final answer
   x = 149,529,913,499,939.28