Finding the Third Proportional to 106.31 and 160.59

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 160.59 = 160.59 : x
2. Step 2: Convert to fraction form
   106.31/160.59 = 160.59/x
3. Step 3: Cross multiply
   106.31x = 160.59 × 160.59
4. Step 4: Simplify right side
   106.31x = 25,790.35
5. Step 5: Solve for x
   x = 25,790.35/106.31
6. Step 6: Final answer
   x = 242.59