Finding the Third Proportional to 165.69 and 357.38

Step by Step Solution

1. Step 1: Write the proportion equation
   165.69 : 357.38 = 357.38 : x
2. Step 2: Convert to fraction form
   165.69/357.38 = 357.38/x
3. Step 3: Cross multiply
   165.69x = 357.38 × 357.38
4. Step 4: Simplify right side
   165.69x = 127,716.89
5. Step 5: Solve for x
   x = 127,716.89/165.69
6. Step 6: Final answer
   x = 770.83