Finding the Third Proportional to 166.69 and 367.69

Step by Step Solution

1. Step 1: Write the proportion equation
   166.69 : 367.69 = 367.69 : x
2. Step 2: Convert to fraction form
   166.69/367.69 = 367.69/x
3. Step 3: Cross multiply
   166.69x = 367.69 × 367.69
4. Step 4: Simplify right side
   166.69x = 135,194.10
5. Step 5: Solve for x
   x = 135,194.10/166.69
6. Step 6: Final answer
   x = 811.06