Finding the Third Proportional to 109.69 and 160.31

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 160.31 = 160.31 : x
2. Step 2: Convert to fraction form
   109.69/160.31 = 160.31/x
3. Step 3: Cross multiply
   109.69x = 160.31 × 160.31
4. Step 4: Simplify right side
   109.69x = 25,700.10
5. Step 5: Solve for x
   x = 25,700.10/109.69
6. Step 6: Final answer
   x = 234.30