Finding the Third Proportional to 160.94 and 255.72

Step by Step Solution

1. Step 1: Write the proportion equation
   160.94 : 255.72 = 255.72 : x
2. Step 2: Convert to fraction form
   160.94/255.72 = 255.72/x
3. Step 3: Cross multiply
   160.94x = 255.72 × 255.72
4. Step 4: Simplify right side
   160.94x = 65,392.08
5. Step 5: Solve for x
   x = 65,392.08/160.94
6. Step 6: Final answer
   x = 406.32