Finding the Third Proportional to 57,657.50 and 126,666

Step by Step Solution

1. Step 1: Write the proportion equation
   57,657.50 : 126,666 = 126,666 : x
2. Step 2: Convert to fraction form
   57,657.50/126,666 = 126,666/x
3. Step 3: Cross multiply
   57,657.50x = 126,666 × 126,666
4. Step 4: Simplify right side
   57,657.50x = 16,044,275,556
5. Step 5: Solve for x
   x = 16,044,275,556/57,657.50
6. Step 6: Final answer
   x = 278,268.67