Finding the Third Proportional to 51,184 and 111,824

Step by Step Solution

1. Step 1: Write the proportion equation
   51,184 : 111,824 = 111,824 : x
2. Step 2: Convert to fraction form
   51,184/111,824 = 111,824/x
3. Step 3: Cross multiply
   51,184x = 111,824 × 111,824
4. Step 4: Simplify right side
   51,184x = 12,504,606,976
5. Step 5: Solve for x
   x = 12,504,606,976/51,184
6. Step 6: Final answer
   x = 244,306.95