Finding the Third Proportional to 110.69 and 160.88

Step by Step Solution

1. Step 1: Write the proportion equation
   110.69 : 160.88 = 160.88 : x
2. Step 2: Convert to fraction form
   110.69/160.88 = 160.88/x
3. Step 3: Cross multiply
   110.69x = 160.88 × 160.88
4. Step 4: Simplify right side
   110.69x = 25,880.77
5. Step 5: Solve for x
   x = 25,880.77/110.69
6. Step 6: Final answer
   x = 233.82