Finding the Third Proportional to 451.69 and 499.78

Step by Step Solution

1. Step 1: Write the proportion equation
   451.69 : 499.78 = 499.78 : x
2. Step 2: Convert to fraction form
   451.69/499.78 = 499.78/x
3. Step 3: Cross multiply
   451.69x = 499.78 × 499.78
4. Step 4: Simplify right side
   451.69x = 249,781.30
5. Step 5: Solve for x
   x = 249,781.30/451.69
6. Step 6: Final answer
   x = 553.00