Finding the Third Proportional to 264.50 and 404.38

Step by Step Solution

1. Step 1: Write the proportion equation
   264.50 : 404.38 = 404.38 : x
2. Step 2: Convert to fraction form
   264.50/404.38 = 404.38/x
3. Step 3: Cross multiply
   264.50x = 404.38 × 404.38
4. Step 4: Simplify right side
   264.50x = 163,519.14
5. Step 5: Solve for x
   x = 163,519.14/264.50
6. Step 6: Final answer
   x = 618.22