Finding the Third Proportional to 402,715,469,502 and 872,460,595,673

Step by Step Solution

1. Step 1: Write the proportion equation
   402,715,469,502 : 872,460,595,673 = 872,460,595,673 : x
2. Step 2: Convert to fraction form
   402,715,469,502/872,460,595,673 = 872,460,595,673/x
3. Step 3: Cross multiply
   402,715,469,502x = 872,460,595,673 × 872,460,595,673
4. Step 4: Simplify right side
   402,715,469,502x = 761,187,491,002,086,005,407,744
5. Step 5: Solve for x
   x = 761,187,491,002,086,005,407,744/402,715,469,502
6. Step 6: Final answer
   x = 1,890,137,202,684.01