Finding the Third Proportional to 82,420.50 and 176,499

Step by Step Solution

1. Step 1: Write the proportion equation
   82,420.50 : 176,499 = 176,499 : x
2. Step 2: Convert to fraction form
   82,420.50/176,499 = 176,499/x
3. Step 3: Cross multiply
   82,420.50x = 176,499 × 176,499
4. Step 4: Simplify right side
   82,420.50x = 31,151,897,001
5. Step 5: Solve for x
   x = 31,151,897,001/82,420.50
6. Step 6: Final answer
   x = 377,962.97