Finding the Third Proportional to 404.50 and 877.25

Step by Step Solution

1. Step 1: Write the proportion equation
   404.50 : 877.25 = 877.25 : x
2. Step 2: Convert to fraction form
   404.50/877.25 = 877.25/x
3. Step 3: Cross multiply
   404.50x = 877.25 × 877.25
4. Step 4: Simplify right side
   404.50x = 769,567.56
5. Step 5: Solve for x
   x = 769,567.56/404.50
6. Step 6: Final answer
   x = 1,902.52