Finding the Third Proportional to 221,413.50 and 458,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,413.50 : 458,581.50 = 458,581.50 : x
2. Step 2: Convert to fraction form
   221,413.50/458,581.50 = 458,581.50/x
3. Step 3: Cross multiply
   221,413.50x = 458,581.50 × 458,581.50
4. Step 4: Simplify right side
   221,413.50x = 210,296,992,142.25
5. Step 5: Solve for x
   x = 210,296,992,142.25/221,413.50
6. Step 6: Final answer
   x = 949,793.00