Finding the Third Proportional to 126,648 and 274,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,648 : 274,378.50 = 274,378.50 : x
2. Step 2: Convert to fraction form
   126,648/274,378.50 = 274,378.50/x
3. Step 3: Cross multiply
   126,648x = 274,378.50 × 274,378.50
4. Step 4: Simplify right side
   126,648x = 75,283,561,262.25
5. Step 5: Solve for x
   x = 75,283,561,262.25/126,648
6. Step 6: Final answer
   x = 594,431.51