Finding the Third Proportional to 82,598 and 131,282

Step by Step Solution

1. Step 1: Write the proportion equation
   82,598 : 131,282 = 131,282 : x
2. Step 2: Convert to fraction form
   82,598/131,282 = 131,282/x
3. Step 3: Cross multiply
   82,598x = 131,282 × 131,282
4. Step 4: Simplify right side
   82,598x = 17,234,963,524
5. Step 5: Solve for x
   x = 17,234,963,524/82,598
6. Step 6: Final answer
   x = 208,660.79