Finding the Third Proportional to 477.98 and 514.27

Step by Step Solution

1. Step 1: Write the proportion equation
   477.98 : 514.27 = 514.27 : x
2. Step 2: Convert to fraction form
   477.98/514.27 = 514.27/x
3. Step 3: Cross multiply
   477.98x = 514.27 × 514.27
4. Step 4: Simplify right side
   477.98x = 264,469.13
5. Step 5: Solve for x
   x = 264,469.13/477.98
6. Step 6: Final answer
   x = 553.30