Finding the Third Proportional to 509,787,072.56 and 787,200,425.02

Step by Step Solution

1. Step 1: Write the proportion equation
   509,787,072.56 : 787,200,425.02 = 787,200,425.02 : x
2. Step 2: Convert to fraction form
   509,787,072.56/787,200,425.02 = 787,200,425.02/x
3. Step 3: Cross multiply
   509,787,072.56x = 787,200,425.02 × 787,200,425.02
4. Step 4: Simplify right side
   509,787,072.56x = 619,684,509,144,741,248
5. Step 5: Solve for x
   x = 619,684,509,144,741,248/509,787,072.56
6. Step 6: Final answer
   x = 1,215,575,173.43