Finding the Third Proportional to 404.63 and 514.31

Step by Step Solution

1. Step 1: Write the proportion equation
   404.63 : 514.31 = 514.31 : x
2. Step 2: Convert to fraction form
   404.63/514.31 = 514.31/x
3. Step 3: Cross multiply
   404.63x = 514.31 × 514.31
4. Step 4: Simplify right side
   404.63x = 264,517.35
5. Step 5: Solve for x
   x = 264,517.35/404.63
6. Step 6: Final answer
   x = 653.73