Finding the Third Proportional to 259,969,283,870 and 566,090,786,092

Step by Step Solution

1. Step 1: Write the proportion equation
   259,969,283,870 : 566,090,786,092 = 566,090,786,092 : x
2. Step 2: Convert to fraction form
   259,969,283,870/566,090,786,092 = 566,090,786,092/x
3. Step 3: Cross multiply
   259,969,283,870x = 566,090,786,092 × 566,090,786,092
4. Step 4: Simplify right side
   259,969,283,870x = 320,458,778,098,258,514,280,448
5. Step 5: Solve for x
   x = 320,458,778,098,258,514,280,448/259,969,283,870
6. Step 6: Final answer
   x = 1,232,679,389,379.35