Finding the Third Proportional to 80,960 and 126,040

Step by Step Solution

1. Step 1: Write the proportion equation
   80,960 : 126,040 = 126,040 : x
2. Step 2: Convert to fraction form
   80,960/126,040 = 126,040/x
3. Step 3: Cross multiply
   80,960x = 126,040 × 126,040
4. Step 4: Simplify right side
   80,960x = 15,886,081,600
5. Step 5: Solve for x
   x = 15,886,081,600/80,960
6. Step 6: Final answer
   x = 196,221.36