Finding the Third Proportional to 311,413.50 and 408,906

Step by Step Solution

1. Step 1: Write the proportion equation
   311,413.50 : 408,906 = 408,906 : x
2. Step 2: Convert to fraction form
   311,413.50/408,906 = 408,906/x
3. Step 3: Cross multiply
   311,413.50x = 408,906 × 408,906
4. Step 4: Simplify right side
   311,413.50x = 167,204,116,836
5. Step 5: Solve for x
   x = 167,204,116,836/311,413.50
6. Step 6: Final answer
   x = 536,919.94