Finding the Third Proportional to 57,674 and 126,280

Step by Step Solution

1. Step 1: Write the proportion equation
   57,674 : 126,280 = 126,280 : x
2. Step 2: Convert to fraction form
   57,674/126,280 = 126,280/x
3. Step 3: Cross multiply
   57,674x = 126,280 × 126,280
4. Step 4: Simplify right side
   57,674x = 15,946,638,400
5. Step 5: Solve for x
   x = 15,946,638,400/57,674
6. Step 6: Final answer
   x = 276,496.14