Finding the Third Proportional to 57,820 and 126,116

Step by Step Solution

1. Step 1: Write the proportion equation
   57,820 : 126,116 = 126,116 : x
2. Step 2: Convert to fraction form
   57,820/126,116 = 126,116/x
3. Step 3: Cross multiply
   57,820x = 126,116 × 126,116
4. Step 4: Simplify right side
   57,820x = 15,905,245,456
5. Step 5: Solve for x
   x = 15,905,245,456/57,820
6. Step 6: Final answer
   x = 275,082.07