Finding the Third Proportional to 414,393 and 584,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,393 : 584,914.50 = 584,914.50 : x
2. Step 2: Convert to fraction form
   414,393/584,914.50 = 584,914.50/x
3. Step 3: Cross multiply
   414,393x = 584,914.50 × 584,914.50
4. Step 4: Simplify right side
   414,393x = 342,124,972,310.25
5. Step 5: Solve for x
   x = 342,124,972,310.25/414,393
6. Step 6: Final answer
   x = 825,605.10