Finding the Third Proportional to 51,998 and 113,500

Step by Step Solution

1. Step 1: Write the proportion equation
   51,998 : 113,500 = 113,500 : x
2. Step 2: Convert to fraction form
   51,998/113,500 = 113,500/x
3. Step 3: Cross multiply
   51,998x = 113,500 × 113,500
4. Step 4: Simplify right side
   51,998x = 12,882,250,000
5. Step 5: Solve for x
   x = 12,882,250,000/51,998
6. Step 6: Final answer
   x = 247,745.11