Finding the Third Proportional to 82,650 and 179,034

Step by Step Solution

1. Step 1: Write the proportion equation
   82,650 : 179,034 = 179,034 : x
2. Step 2: Convert to fraction form
   82,650/179,034 = 179,034/x
3. Step 3: Cross multiply
   82,650x = 179,034 × 179,034
4. Step 4: Simplify right side
   82,650x = 32,053,173,156
5. Step 5: Solve for x
   x = 32,053,173,156/82,650
6. Step 6: Final answer
   x = 387,818.19