Finding the Third Proportional to 397,876,507,674 and 865,465,096,158

Step by Step Solution

1. Step 1: Write the proportion equation
   397,876,507,674 : 865,465,096,158 = 865,465,096,158 : x
2. Step 2: Convert to fraction form
   397,876,507,674/865,465,096,158 = 865,465,096,158/x
3. Step 3: Cross multiply
   397,876,507,674x = 865,465,096,158 × 865,465,096,158
4. Step 4: Simplify right side
   397,876,507,674x = 749,029,832,667,776,187,105,280
5. Step 5: Solve for x
   x = 749,029,832,667,776,187,105,280/397,876,507,674
6. Step 6: Final answer
   x = 1,882,568,631,776.30