Finding the Third Proportional to 509,787,046.13 and 787,200,382.69

Step by Step Solution

1. Step 1: Write the proportion equation
   509,787,046.13 : 787,200,382.69 = 787,200,382.69 : x
2. Step 2: Convert to fraction form
   509,787,046.13/787,200,382.69 = 787,200,382.69/x
3. Step 3: Cross multiply
   509,787,046.13x = 787,200,382.69 × 787,200,382.69
4. Step 4: Simplify right side
   509,787,046.13x = 619,684,442,503,346,432
5. Step 5: Solve for x
   x = 619,684,442,503,346,432/509,787,046.13
6. Step 6: Final answer
   x = 1,215,575,105.75