Finding the Third Proportional to 57,642.50 and 126,220

Step by Step Solution

1. Step 1: Write the proportion equation
   57,642.50 : 126,220 = 126,220 : x
2. Step 2: Convert to fraction form
   57,642.50/126,220 = 126,220/x
3. Step 3: Cross multiply
   57,642.50x = 126,220 × 126,220
4. Step 4: Simplify right side
   57,642.50x = 15,931,488,400
5. Step 5: Solve for x
   x = 15,931,488,400/57,642.50
6. Step 6: Final answer
   x = 276,384.41