Finding the Third Proportional to 160.56 and 233.69

Step by Step Solution

1. Step 1: Write the proportion equation
   160.56 : 233.69 = 233.69 : x
2. Step 2: Convert to fraction form
   160.56/233.69 = 233.69/x
3. Step 3: Cross multiply
   160.56x = 233.69 × 233.69
4. Step 4: Simplify right side
   160.56x = 54,609.85
5. Step 5: Solve for x
   x = 54,609.85/160.56
6. Step 6: Final answer
   x = 340.12