Finding the Third Proportional to 414,388.50 and 584,907

Step by Step Solution

1. Step 1: Write the proportion equation
   414,388.50 : 584,907 = 584,907 : x
2. Step 2: Convert to fraction form
   414,388.50/584,907 = 584,907/x
3. Step 3: Cross multiply
   414,388.50x = 584,907 × 584,907
4. Step 4: Simplify right side
   414,388.50x = 342,116,198,649
5. Step 5: Solve for x
   x = 342,116,198,649/414,388.50
6. Step 6: Final answer
   x = 825,592.89