Finding the Third Proportional to 82,892 and 178,744

Step by Step Solution

1. Step 1: Write the proportion equation
   82,892 : 178,744 = 178,744 : x
2. Step 2: Convert to fraction form
   82,892/178,744 = 178,744/x
3. Step 3: Cross multiply
   82,892x = 178,744 × 178,744
4. Step 4: Simplify right side
   82,892x = 31,949,417,536
5. Step 5: Solve for x
   x = 31,949,417,536/82,892
6. Step 6: Final answer
   x = 385,434.27