Finding the Third Proportional to 82,411.50 and 176,487

Step by Step Solution

1. Step 1: Write the proportion equation
   82,411.50 : 176,487 = 176,487 : x
2. Step 2: Convert to fraction form
   82,411.50/176,487 = 176,487/x
3. Step 3: Cross multiply
   82,411.50x = 176,487 × 176,487
4. Step 4: Simplify right side
   82,411.50x = 31,147,661,169
5. Step 5: Solve for x
   x = 31,147,661,169/82,411.50
6. Step 6: Final answer
   x = 377,952.85