Finding the Third Proportional to 109.69 and 160.03

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 160.03 = 160.03 : x
2. Step 2: Convert to fraction form
   109.69/160.03 = 160.03/x
3. Step 3: Cross multiply
   109.69x = 160.03 × 160.03
4. Step 4: Simplify right side
   109.69x = 25,610.00
5. Step 5: Solve for x
   x = 25,610.00/109.69
6. Step 6: Final answer
   x = 233.48