Finding the Third Proportional to 82,243.13 and 176,724

Step by Step Solution

1. Step 1: Write the proportion equation
   82,243.13 : 176,724 = 176,724 : x
2. Step 2: Convert to fraction form
   82,243.13/176,724 = 176,724/x
3. Step 3: Cross multiply
   82,243.13x = 176,724 × 176,724
4. Step 4: Simplify right side
   82,243.13x = 31,231,372,176
5. Step 5: Solve for x
   x = 31,231,372,176/82,243.13
6. Step 6: Final answer
   x = 379,744.47