Finding the Third Proportional to 111,140 and 158,816

Step by Step Solution

1. Step 1: Write the proportion equation
   111,140 : 158,816 = 158,816 : x
2. Step 2: Convert to fraction form
   111,140/158,816 = 158,816/x
3. Step 3: Cross multiply
   111,140x = 158,816 × 158,816
4. Step 4: Simplify right side
   111,140x = 25,222,521,856
5. Step 5: Solve for x
   x = 25,222,521,856/111,140
6. Step 6: Final answer
   x = 226,943.69