Finding the Third Proportional to 82,892 and 177,418

Step by Step Solution

1. Step 1: Write the proportion equation
   82,892 : 177,418 = 177,418 : x
2. Step 2: Convert to fraction form
   82,892/177,418 = 177,418/x
3. Step 3: Cross multiply
   82,892x = 177,418 × 177,418
4. Step 4: Simplify right side
   82,892x = 31,477,146,724
5. Step 5: Solve for x
   x = 31,477,146,724/82,892
6. Step 6: Final answer
   x = 379,736.85