Finding the Third Proportional to 57,769.50 and 125,016

Step by Step Solution

1. Step 1: Write the proportion equation
   57,769.50 : 125,016 = 125,016 : x
2. Step 2: Convert to fraction form
   57,769.50/125,016 = 125,016/x
3. Step 3: Cross multiply
   57,769.50x = 125,016 × 125,016
4. Step 4: Simplify right side
   57,769.50x = 15,629,000,256
5. Step 5: Solve for x
   x = 15,629,000,256/57,769.50
6. Step 6: Final answer
   x = 270,540.69