Finding the Third Proportional to 82,540 and 176,816

Step by Step Solution

1. Step 1: Write the proportion equation
   82,540 : 176,816 = 176,816 : x
2. Step 2: Convert to fraction form
   82,540/176,816 = 176,816/x
3. Step 3: Cross multiply
   82,540x = 176,816 × 176,816
4. Step 4: Simplify right side
   82,540x = 31,263,897,856
5. Step 5: Solve for x
   x = 31,263,897,856/82,540
6. Step 6: Final answer
   x = 378,772.69