Finding the Third Proportional to 80,640 and 175,128

Step by Step Solution

1. Step 1: Write the proportion equation
   80,640 : 175,128 = 175,128 : x
2. Step 2: Convert to fraction form
   80,640/175,128 = 175,128/x
3. Step 3: Cross multiply
   80,640x = 175,128 × 175,128
4. Step 4: Simplify right side
   80,640x = 30,669,816,384
5. Step 5: Solve for x
   x = 30,669,816,384/80,640
6. Step 6: Final answer
   x = 380,330.06