Finding the Third Proportional to 109.69 and 159.47

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 159.47 = 159.47 : x
2. Step 2: Convert to fraction form
   109.69/159.47 = 159.47/x
3. Step 3: Cross multiply
   109.69x = 159.47 × 159.47
4. Step 4: Simplify right side
   109.69x = 25,430.28
5. Step 5: Solve for x
   x = 25,430.28/109.69
6. Step 6: Final answer
   x = 231.84