Finding the Third Proportional to 51,767.25 and 113,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,767.25 : 113,227.50 = 113,227.50 : x
2. Step 2: Convert to fraction form
   51,767.25/113,227.50 = 113,227.50/x
3. Step 3: Cross multiply
   51,767.25x = 113,227.50 × 113,227.50
4. Step 4: Simplify right side
   51,767.25x = 12,820,466,756.25
5. Step 5: Solve for x
   x = 12,820,466,756.25/51,767.25
6. Step 6: Final answer
   x = 247,655.94