Finding the Third Proportional to 396.69 and 462.69

Step by Step Solution

1. Step 1: Write the proportion equation
   396.69 : 462.69 = 462.69 : x
2. Step 2: Convert to fraction form
   396.69/462.69 = 462.69/x
3. Step 3: Cross multiply
   396.69x = 462.69 × 462.69
4. Step 4: Simplify right side
   396.69x = 214,079.72
5. Step 5: Solve for x
   x = 214,079.72/396.69
6. Step 6: Final answer
   x = 539.67