Finding the Third Proportional to 82,231.25 and 177,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,231.25 : 177,151.50 = 177,151.50 : x
2. Step 2: Convert to fraction form
   82,231.25/177,151.50 = 177,151.50/x
3. Step 3: Cross multiply
   82,231.25x = 177,151.50 × 177,151.50
4. Step 4: Simplify right side
   82,231.25x = 31,382,653,952.25
5. Step 5: Solve for x
   x = 31,382,653,952.25/82,231.25
6. Step 6: Final answer
   x = 381,639.02