Finding the Third Proportional to 109.69 and 166.22

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 166.22 = 166.22 : x
2. Step 2: Convert to fraction form
   109.69/166.22 = 166.22/x
3. Step 3: Cross multiply
   109.69x = 166.22 × 166.22
4. Step 4: Simplify right side
   109.69x = 27,628.67
5. Step 5: Solve for x
   x = 27,628.67/109.69
6. Step 6: Final answer
   x = 251.89