Finding the Third Proportional to 111,540 and 158,997

Step by Step Solution

1. Step 1: Write the proportion equation
   111,540 : 158,997 = 158,997 : x
2. Step 2: Convert to fraction form
   111,540/158,997 = 158,997/x
3. Step 3: Cross multiply
   111,540x = 158,997 × 158,997
4. Step 4: Simplify right side
   111,540x = 25,280,046,009
5. Step 5: Solve for x
   x = 25,280,046,009/111,540
6. Step 6: Final answer
   x = 226,645.56