Finding the Third Proportional to 404,870 and 576,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,870 : 576,745.50 = 576,745.50 : x
2. Step 2: Convert to fraction form
   404,870/576,745.50 = 576,745.50/x
3. Step 3: Cross multiply
   404,870x = 576,745.50 × 576,745.50
4. Step 4: Simplify right side
   404,870x = 332,635,371,770.25
5. Step 5: Solve for x
   x = 332,635,371,770.25/404,870
6. Step 6: Final answer
   x = 821,585.62