Finding the Third Proportional to 82,632 and 170,156

Step by Step Solution

1. Step 1: Write the proportion equation
   82,632 : 170,156 = 170,156 : x
2. Step 2: Convert to fraction form
   82,632/170,156 = 170,156/x
3. Step 3: Cross multiply
   82,632x = 170,156 × 170,156
4. Step 4: Simplify right side
   82,632x = 28,953,064,336
5. Step 5: Solve for x
   x = 28,953,064,336/82,632
6. Step 6: Final answer
   x = 350,385.62