Finding the Third Proportional to 411,198 and 616,794.75

Step by Step Solution

1. Step 1: Write the proportion equation
   411,198 : 616,794.75 = 616,794.75 : x
2. Step 2: Convert to fraction form
   411,198/616,794.75 = 616,794.75/x
3. Step 3: Cross multiply
   411,198x = 616,794.75 × 616,794.75
4. Step 4: Simplify right side
   411,198x = 380,435,763,627.56
5. Step 5: Solve for x
   x = 380,435,763,627.56/411,198
6. Step 6: Final answer
   x = 925,188.75