Finding the Third Proportional to 82,382 and 131,402

Step by Step Solution

1. Step 1: Write the proportion equation
   82,382 : 131,402 = 131,402 : x
2. Step 2: Convert to fraction form
   82,382/131,402 = 131,402/x
3. Step 3: Cross multiply
   82,382x = 131,402 × 131,402
4. Step 4: Simplify right side
   82,382x = 17,266,485,604
5. Step 5: Solve for x
   x = 17,266,485,604/82,382
6. Step 6: Final answer
   x = 209,590.51