Finding the Third Proportional to 57,978 and 126,036

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 126,036 = 126,036 : x
2. Step 2: Convert to fraction form
   57,978/126,036 = 126,036/x
3. Step 3: Cross multiply
   57,978x = 126,036 × 126,036
4. Step 4: Simplify right side
   57,978x = 15,885,073,296
5. Step 5: Solve for x
   x = 15,885,073,296/57,978
6. Step 6: Final answer
   x = 273,984.50