Finding the Third Proportional to 200,917 and 303,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,917 : 303,413.50 = 303,413.50 : x
2. Step 2: Convert to fraction form
   200,917/303,413.50 = 303,413.50/x
3. Step 3: Cross multiply
   200,917x = 303,413.50 × 303,413.50
4. Step 4: Simplify right side
   200,917x = 92,059,751,982.25
5. Step 5: Solve for x
   x = 92,059,751,982.25/200,917
6. Step 6: Final answer
   x = 458,197.92