Finding the Third Proportional to 106.50 and 160.78

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 160.78 = 160.78 : x
2. Step 2: Convert to fraction form
   106.50/160.78 = 160.78/x
3. Step 3: Cross multiply
   106.50x = 160.78 × 160.78
4. Step 4: Simplify right side
   106.50x = 25,850.61
5. Step 5: Solve for x
   x = 25,850.61/106.50
6. Step 6: Final answer
   x = 242.73