Finding the Third Proportional to 165.38 and 362.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 362.25 = 362.25 : x
2. Step 2: Convert to fraction form
   165.38/362.25 = 362.25/x
3. Step 3: Cross multiply
   165.38x = 362.25 × 362.25
4. Step 4: Simplify right side
   165.38x = 131,225.06
5. Step 5: Solve for x
   x = 131,225.06/165.38
6. Step 6: Final answer
   x = 793.50