Finding the Third Proportional to 160.13 and 255.31

Step by Step Solution

1. Step 1: Write the proportion equation
   160.13 : 255.31 = 255.31 : x
2. Step 2: Convert to fraction form
   160.13/255.31 = 255.31/x
3. Step 3: Cross multiply
   160.13x = 255.31 × 255.31
4. Step 4: Simplify right side
   160.13x = 65,184.47
5. Step 5: Solve for x
   x = 65,184.47/160.13
6. Step 6: Final answer
   x = 407.08