Finding the Third Proportional to 112.25 and 160.56

Step by Step Solution

1. Step 1: Write the proportion equation
   112.25 : 160.56 = 160.56 : x
2. Step 2: Convert to fraction form
   112.25/160.56 = 160.56/x
3. Step 3: Cross multiply
   112.25x = 160.56 × 160.56
4. Step 4: Simplify right side
   112.25x = 25,780.32
5. Step 5: Solve for x
   x = 25,780.32/112.25
6. Step 6: Final answer
   x = 229.67