Finding the Third Proportional to 397,876,507,666 and 865,465,096,140

Step by Step Solution

1. Step 1: Write the proportion equation
   397,876,507,666 : 865,465,096,140 = 865,465,096,140 : x
2. Step 2: Convert to fraction form
   397,876,507,666/865,465,096,140 = 865,465,096,140/x
3. Step 3: Cross multiply
   397,876,507,666x = 865,465,096,140 × 865,465,096,140
4. Step 4: Simplify right side
   397,876,507,666x = 749,029,832,636,619,420,598,272
5. Step 5: Solve for x
   x = 749,029,832,636,619,420,598,272/397,876,507,666
6. Step 6: Final answer
   x = 1,882,568,631,735.85