Finding the Third Proportional to 166.69 and 363.56

Step by Step Solution

1. Step 1: Write the proportion equation
   166.69 : 363.56 = 363.56 : x
2. Step 2: Convert to fraction form
   166.69/363.56 = 363.56/x
3. Step 3: Cross multiply
   166.69x = 363.56 × 363.56
4. Step 4: Simplify right side
   166.69x = 132,177.69
5. Step 5: Solve for x
   x = 132,177.69/166.69
6. Step 6: Final answer
   x = 792.97