Finding the Third Proportional to 82,882 and 131,446

Step by Step Solution

1. Step 1: Write the proportion equation
   82,882 : 131,446 = 131,446 : x
2. Step 2: Convert to fraction form
   82,882/131,446 = 131,446/x
3. Step 3: Cross multiply
   82,882x = 131,446 × 131,446
4. Step 4: Simplify right side
   82,882x = 17,278,050,916
5. Step 5: Solve for x
   x = 17,278,050,916/82,882
6. Step 6: Final answer
   x = 208,465.66