Finding the Third Proportional to 166.69 and 266.27

Step by Step Solution

1. Step 1: Write the proportion equation
   166.69 : 266.27 = 266.27 : x
2. Step 2: Convert to fraction form
   166.69/266.27 = 266.27/x
3. Step 3: Cross multiply
   166.69x = 266.27 × 266.27
4. Step 4: Simplify right side
   166.69x = 70,901.54
5. Step 5: Solve for x
   x = 70,901.54/166.69
6. Step 6: Final answer
   x = 425.36