Finding the Third Proportional to 81,723.94 and 177,010.31

Step by Step Solution

1. Step 1: Write the proportion equation
   81,723.94 : 177,010.31 = 177,010.31 : x
2. Step 2: Convert to fraction form
   81,723.94/177,010.31 = 177,010.31/x
3. Step 3: Cross multiply
   81,723.94x = 177,010.31 × 177,010.31
4. Step 4: Simplify right side
   81,723.94x = 31,332,650,731.35
5. Step 5: Solve for x
   x = 31,332,650,731.35/81,723.94
6. Step 6: Final answer
   x = 383,396.24