Finding the Third Proportional to 82,481 and 176,626

Step by Step Solution

1. Step 1: Write the proportion equation
   82,481 : 176,626 = 176,626 : x
2. Step 2: Convert to fraction form
   82,481/176,626 = 176,626/x
3. Step 3: Cross multiply
   82,481x = 176,626 × 176,626
4. Step 4: Simplify right side
   82,481x = 31,196,743,876
5. Step 5: Solve for x
   x = 31,196,743,876/82,481
6. Step 6: Final answer
   x = 378,229.46