Finding the Third Proportional to 402,429,524 and 862,228,456

Step by Step Solution

1. Step 1: Write the proportion equation
   402,429,524 : 862,228,456 = 862,228,456 : x
2. Step 2: Convert to fraction form
   402,429,524/862,228,456 = 862,228,456/x
3. Step 3: Cross multiply
   402,429,524x = 862,228,456 × 862,228,456
4. Step 4: Simplify right side
   402,429,524x = 743,437,910,336,143,872
5. Step 5: Solve for x
   x = 743,437,910,336,143,872/402,429,524
6. Step 6: Final answer
   x = 1,847,374,176.10