Finding the Third Proportional to 82,690 and 131,418

Step by Step Solution

1. Step 1: Write the proportion equation
   82,690 : 131,418 = 131,418 : x
2. Step 2: Convert to fraction form
   82,690/131,418 = 131,418/x
3. Step 3: Cross multiply
   82,690x = 131,418 × 131,418
4. Step 4: Simplify right side
   82,690x = 17,270,690,724
5. Step 5: Solve for x
   x = 17,270,690,724/82,690
6. Step 6: Final answer
   x = 208,860.69