Finding the Third Proportional to 51,952.50 and 113,625

Step by Step Solution

1. Step 1: Write the proportion equation
   51,952.50 : 113,625 = 113,625 : x
2. Step 2: Convert to fraction form
   51,952.50/113,625 = 113,625/x
3. Step 3: Cross multiply
   51,952.50x = 113,625 × 113,625
4. Step 4: Simplify right side
   51,952.50x = 12,910,640,625
5. Step 5: Solve for x
   x = 12,910,640,625/51,952.50
6. Step 6: Final answer
   x = 248,508.55