Finding the Third Proportional to 339,730,086,391.50 and 509,098,173,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,730,086,391.50 : 509,098,173,106.50 = 509,098,173,106.50 : x
2. Step 2: Convert to fraction form
   339,730,086,391.50/509,098,173,106.50 = 509,098,173,106.50/x
3. Step 3: Cross multiply
   339,730,086,391.50x = 509,098,173,106.50 × 509,098,173,106.50
4. Step 4: Simplify right side
   339,730,086,391.50x = 259,180,949,860,375,834,132,480
5. Step 5: Solve for x
   x = 259,180,949,860,375,834,132,480/339,730,086,391.50
6. Step 6: Final answer
   x = 762,902,551,885.56