Finding the Third Proportional to 80,758.69 and 177,046.31

Step by Step Solution

1. Step 1: Write the proportion equation
   80,758.69 : 177,046.31 = 177,046.31 : x
2. Step 2: Convert to fraction form
   80,758.69/177,046.31 = 177,046.31/x
3. Step 3: Cross multiply
   80,758.69x = 177,046.31 × 177,046.31
4. Step 4: Simplify right side
   80,758.69x = 31,345,396,769.85
5. Step 5: Solve for x
   x = 31,345,396,769.85/80,758.69
6. Step 6: Final answer
   x = 388,136.53