Finding the Third Proportional to 51,989.50 and 113,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,989.50 : 113,874.50 = 113,874.50 : x
2. Step 2: Convert to fraction form
   51,989.50/113,874.50 = 113,874.50/x
3. Step 3: Cross multiply
   51,989.50x = 113,874.50 × 113,874.50
4. Step 4: Simplify right side
   51,989.50x = 12,967,401,750.25
5. Step 5: Solve for x
   x = 12,967,401,750.25/51,989.50
6. Step 6: Final answer
   x = 249,423.47