Finding the Third Proportional to 541,536,768 and 825,002,496

Step by Step Solution

1. Step 1: Write the proportion equation
   541,536,768 : 825,002,496 = 825,002,496 : x
2. Step 2: Convert to fraction form
   541,536,768/825,002,496 = 825,002,496/x
3. Step 3: Cross multiply
   541,536,768x = 825,002,496 × 825,002,496
4. Step 4: Simplify right side
   541,536,768x = 680,629,118,406,230,016
5. Step 5: Solve for x
   x = 680,629,118,406,230,016/541,536,768
6. Step 6: Final answer
   x = 1,256,847,473.02