Finding the Third Proportional to 82,078.31 and 176,630.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82,078.31 : 176,630.63 = 176,630.63 : x
2. Step 2: Convert to fraction form
   82,078.31/176,630.63 = 176,630.63/x
3. Step 3: Cross multiply
   82,078.31x = 176,630.63 × 176,630.63
4. Step 4: Simplify right side
   82,078.31x = 31,198,377,687.89
5. Step 5: Solve for x
   x = 31,198,377,687.89/82,078.31
6. Step 6: Final answer
   x = 380,105.01