Finding the Third Proportional to 111,164 and 239,824

Step by Step Solution

1. Step 1: Write the proportion equation
   111,164 : 239,824 = 239,824 : x
2. Step 2: Convert to fraction form
   111,164/239,824 = 239,824/x
3. Step 3: Cross multiply
   111,164x = 239,824 × 239,824
4. Step 4: Simplify right side
   111,164x = 57,515,550,976
5. Step 5: Solve for x
   x = 57,515,550,976/111,164
6. Step 6: Final answer
   x = 517,393.68