Finding the Third Proportional to 165.38 and 264.94

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 264.94 = 264.94 : x
2. Step 2: Convert to fraction form
   165.38/264.94 = 264.94/x
3. Step 3: Cross multiply
   165.38x = 264.94 × 264.94
4. Step 4: Simplify right side
   165.38x = 70,191.88
5. Step 5: Solve for x
   x = 70,191.88/165.38
6. Step 6: Final answer
   x = 424.44