Finding the Third Proportional to 111,744 and 171,504

Step by Step Solution

1. Step 1: Write the proportion equation
   111,744 : 171,504 = 171,504 : x
2. Step 2: Convert to fraction form
   111,744/171,504 = 171,504/x
3. Step 3: Cross multiply
   111,744x = 171,504 × 171,504
4. Step 4: Simplify right side
   111,744x = 29,413,622,016
5. Step 5: Solve for x
   x = 29,413,622,016/111,744
6. Step 6: Final answer
   x = 263,223.28