Finding the Third Proportional to 397,876,507,676 and 865,465,096,162

Step by Step Solution

1. Step 1: Write the proportion equation
   397,876,507,676 : 865,465,096,162 = 865,465,096,162 : x
2. Step 2: Convert to fraction form
   397,876,507,676/865,465,096,162 = 865,465,096,162/x
3. Step 3: Cross multiply
   397,876,507,676x = 865,465,096,162 × 865,465,096,162
4. Step 4: Simplify right side
   397,876,507,676x = 749,029,832,674,699,942,821,888
5. Step 5: Solve for x
   x = 749,029,832,674,699,942,821,888/397,876,507,676
6. Step 6: Final answer
   x = 1,882,568,631,784.24