Finding the Third Proportional to 82,905 and 131,474

Step by Step Solution

1. Step 1: Write the proportion equation
   82,905 : 131,474 = 131,474 : x
2. Step 2: Convert to fraction form
   82,905/131,474 = 131,474/x
3. Step 3: Cross multiply
   82,905x = 131,474 × 131,474
4. Step 4: Simplify right side
   82,905x = 17,285,412,676
5. Step 5: Solve for x
   x = 17,285,412,676/82,905
6. Step 6: Final answer
   x = 208,496.62