Finding the Third Proportional to 111.75 and 160.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 160.13 = 160.13 : x
2. Step 2: Convert to fraction form
   111.75/160.13 = 160.13/x
3. Step 3: Cross multiply
   111.75x = 160.13 × 160.13
4. Step 4: Simplify right side
   111.75x = 25,640.02
5. Step 5: Solve for x
   x = 25,640.02/111.75
6. Step 6: Final answer
   x = 229.44