Finding the Third Proportional to 82,216.13 and 176,670

Step by Step Solution

1. Step 1: Write the proportion equation
   82,216.13 : 176,670 = 176,670 : x
2. Step 2: Convert to fraction form
   82,216.13/176,670 = 176,670/x
3. Step 3: Cross multiply
   82,216.13x = 176,670 × 176,670
4. Step 4: Simplify right side
   82,216.13x = 31,212,288,900
5. Step 5: Solve for x
   x = 31,212,288,900/82,216.13
6. Step 6: Final answer
   x = 379,637.07