Finding the Third Proportional to 160.27 and 255.59

Step by Step Solution

1. Step 1: Write the proportion equation
   160.27 : 255.59 = 255.59 : x
2. Step 2: Convert to fraction form
   160.27/255.59 = 255.59/x
3. Step 3: Cross multiply
   160.27x = 255.59 × 255.59
4. Step 4: Simplify right side
   160.27x = 65,324.17
5. Step 5: Solve for x
   x = 65,324.17/160.27
6. Step 6: Final answer
   x = 407.60