Finding the Third Proportional to 51,847 and 111,065

Step by Step Solution

1. Step 1: Write the proportion equation
   51,847 : 111,065 = 111,065 : x
2. Step 2: Convert to fraction form
   51,847/111,065 = 111,065/x
3. Step 3: Cross multiply
   51,847x = 111,065 × 111,065
4. Step 4: Simplify right side
   51,847x = 12,335,434,225
5. Step 5: Solve for x
   x = 12,335,434,225/51,847
6. Step 6: Final answer
   x = 237,919.92