Finding the Third Proportional to 111,540 and 159,004

Step by Step Solution

1. Step 1: Write the proportion equation
   111,540 : 159,004 = 159,004 : x
2. Step 2: Convert to fraction form
   111,540/159,004 = 159,004/x
3. Step 3: Cross multiply
   111,540x = 159,004 × 159,004
4. Step 4: Simplify right side
   111,540x = 25,282,272,016
5. Step 5: Solve for x
   x = 25,282,272,016/111,540
6. Step 6: Final answer
   x = 226,665.52