Finding the Third Proportional to 80,568 and 177,240

Step by Step Solution

1. Step 1: Write the proportion equation
   80,568 : 177,240 = 177,240 : x
2. Step 2: Convert to fraction form
   80,568/177,240 = 177,240/x
3. Step 3: Cross multiply
   80,568x = 177,240 × 177,240
4. Step 4: Simplify right side
   80,568x = 31,414,017,600
5. Step 5: Solve for x
   x = 31,414,017,600/80,568
6. Step 6: Final answer
   x = 389,906.88