Finding the Third Proportional to 404.69 and 719.56

Step by Step Solution

1. Step 1: Write the proportion equation
   404.69 : 719.56 = 719.56 : x
2. Step 2: Convert to fraction form
   404.69/719.56 = 719.56/x
3. Step 3: Cross multiply
   404.69x = 719.56 × 719.56
4. Step 4: Simplify right side
   404.69x = 517,770.19
5. Step 5: Solve for x
   x = 517,770.19/404.69
6. Step 6: Final answer
   x = 1,279.43