Finding the Third Proportional to 51,471 and 111,096

Step by Step Solution

1. Step 1: Write the proportion equation
   51,471 : 111,096 = 111,096 : x
2. Step 2: Convert to fraction form
   51,471/111,096 = 111,096/x
3. Step 3: Cross multiply
   51,471x = 111,096 × 111,096
4. Step 4: Simplify right side
   51,471x = 12,342,321,216
5. Step 5: Solve for x
   x = 12,342,321,216/51,471
6. Step 6: Final answer
   x = 239,791.75