Finding the Third Proportional to 83,918 and 131,655

Step by Step Solution

1. Step 1: Write the proportion equation
   83,918 : 131,655 = 131,655 : x
2. Step 2: Convert to fraction form
   83,918/131,655 = 131,655/x
3. Step 3: Cross multiply
   83,918x = 131,655 × 131,655
4. Step 4: Simplify right side
   83,918x = 17,333,039,025
5. Step 5: Solve for x
   x = 17,333,039,025/83,918
6. Step 6: Final answer
   x = 206,547.33