Finding the Third Proportional to 80,640 and 171,040

Step by Step Solution

1. Step 1: Write the proportion equation
   80,640 : 171,040 = 171,040 : x
2. Step 2: Convert to fraction form
   80,640/171,040 = 171,040/x
3. Step 3: Cross multiply
   80,640x = 171,040 × 171,040
4. Step 4: Simplify right side
   80,640x = 29,254,681,600
5. Step 5: Solve for x
   x = 29,254,681,600/80,640
6. Step 6: Final answer
   x = 362,781.27