Finding the Third Proportional to 82,143.25 and 176,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,143.25 : 176,552.50 = 176,552.50 : x
2. Step 2: Convert to fraction form
   82,143.25/176,552.50 = 176,552.50/x
3. Step 3: Cross multiply
   82,143.25x = 176,552.50 × 176,552.50
4. Step 4: Simplify right side
   82,143.25x = 31,170,785,256.25
5. Step 5: Solve for x
   x = 31,170,785,256.25/82,143.25
6. Step 6: Final answer
   x = 379,468.61