Finding the Third Proportional to 80,057.25 and 177,840

Step by Step Solution

1. Step 1: Write the proportion equation
   80,057.25 : 177,840 = 177,840 : x
2. Step 2: Convert to fraction form
   80,057.25/177,840 = 177,840/x
3. Step 3: Cross multiply
   80,057.25x = 177,840 × 177,840
4. Step 4: Simplify right side
   80,057.25x = 31,627,065,600
5. Step 5: Solve for x
   x = 31,627,065,600/80,057.25
6. Step 6: Final answer
   x = 395,055.61