Finding the Third Proportional to 82,332 and 171,124

Step by Step Solution

1. Step 1: Write the proportion equation
   82,332 : 171,124 = 171,124 : x
2. Step 2: Convert to fraction form
   82,332/171,124 = 171,124/x
3. Step 3: Cross multiply
   82,332x = 171,124 × 171,124
4. Step 4: Simplify right side
   82,332x = 29,283,423,376
5. Step 5: Solve for x
   x = 29,283,423,376/82,332
6. Step 6: Final answer
   x = 355,674.87