Finding the Third Proportional to 397,876,507,662 and 865,465,096,131

Step by Step Solution

1. Step 1: Write the proportion equation
   397,876,507,662 : 865,465,096,131 = 865,465,096,131 : x
2. Step 2: Convert to fraction form
   397,876,507,662/865,465,096,131 = 865,465,096,131/x
3. Step 3: Cross multiply
   397,876,507,662x = 865,465,096,131 × 865,465,096,131
4. Step 4: Simplify right side
   397,876,507,662x = 749,029,832,621,041,037,344,768
5. Step 5: Solve for x
   x = 749,029,832,621,041,037,344,768/397,876,507,662
6. Step 6: Final answer
   x = 1,882,568,631,715.62