Finding the Third Proportional to 109.69 and 161.16

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 161.16 = 161.16 : x
2. Step 2: Convert to fraction form
   109.69/161.16 = 161.16/x
3. Step 3: Cross multiply
   109.69x = 161.16 × 161.16
4. Step 4: Simplify right side
   109.69x = 25,971.34
5. Step 5: Solve for x
   x = 25,971.34/109.69
6. Step 6: Final answer
   x = 236.78