Finding the Third Proportional to 106.59 and 160.10

Step by Step Solution

1. Step 1: Write the proportion equation
   106.59 : 160.10 = 160.10 : x
2. Step 2: Convert to fraction form
   106.59/160.10 = 160.10/x
3. Step 3: Cross multiply
   106.59x = 160.10 × 160.10
4. Step 4: Simplify right side
   106.59x = 25,632.51
5. Step 5: Solve for x
   x = 25,632.51/106.59
6. Step 6: Final answer
   x = 240.47