Finding the Third Proportional to 412,797 and 550,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,797 : 550,456.50 = 550,456.50 : x
2. Step 2: Convert to fraction form
   412,797/550,456.50 = 550,456.50/x
3. Step 3: Cross multiply
   412,797x = 550,456.50 × 550,456.50
4. Step 4: Simplify right side
   412,797x = 303,002,358,392.25
5. Step 5: Solve for x
   x = 303,002,358,392.25/412,797
6. Step 6: Final answer
   x = 734,022.68