Finding the Third Proportional to 165.69 and 352.38

Step by Step Solution

1. Step 1: Write the proportion equation
   165.69 : 352.38 = 352.38 : x
2. Step 2: Convert to fraction form
   165.69/352.38 = 352.38/x
3. Step 3: Cross multiply
   165.69x = 352.38 × 352.38
4. Step 4: Simplify right side
   165.69x = 124,168.14
5. Step 5: Solve for x
   x = 124,168.14/165.69
6. Step 6: Final answer
   x = 749.41