Finding the Third Proportional to 106.83 and 160.27

Step by Step Solution

1. Step 1: Write the proportion equation
   106.83 : 160.27 = 160.27 : x
2. Step 2: Convert to fraction form
   106.83/160.27 = 160.27/x
3. Step 3: Cross multiply
   106.83x = 160.27 × 160.27
4. Step 4: Simplify right side
   106.83x = 25,685.07
5. Step 5: Solve for x
   x = 25,685.07/106.83
6. Step 6: Final answer
   x = 240.43