Finding the Third Proportional to 126,978 and 276,532

Step by Step Solution

1. Step 1: Write the proportion equation
   126,978 : 276,532 = 276,532 : x
2. Step 2: Convert to fraction form
   126,978/276,532 = 276,532/x
3. Step 3: Cross multiply
   126,978x = 276,532 × 276,532
4. Step 4: Simplify right side
   126,978x = 76,469,947,024
5. Step 5: Solve for x
   x = 76,469,947,024/126,978
6. Step 6: Final answer
   x = 602,229.89