Finding the Third Proportional to 80,744 and 177,040

Step by Step Solution

1. Step 1: Write the proportion equation
   80,744 : 177,040 = 177,040 : x
2. Step 2: Convert to fraction form
   80,744/177,040 = 177,040/x
3. Step 3: Cross multiply
   80,744x = 177,040 × 177,040
4. Step 4: Simplify right side
   80,744x = 31,343,161,600
5. Step 5: Solve for x
   x = 31,343,161,600/80,744
6. Step 6: Final answer
   x = 388,179.45