Finding the Third Proportional to 541,536,770 and 825,002,499

Step by Step Solution

1. Step 1: Write the proportion equation
   541,536,770 : 825,002,499 = 825,002,499 : x
2. Step 2: Convert to fraction form
   541,536,770/825,002,499 = 825,002,499/x
3. Step 3: Cross multiply
   541,536,770x = 825,002,499 × 825,002,499
4. Step 4: Simplify right side
   541,536,770x = 680,629,123,356,244,992
5. Step 5: Solve for x
   x = 680,629,123,356,244,992/541,536,770
6. Step 6: Final answer
   x = 1,256,847,477.52