Finding the Third Proportional to 214,433 and 315,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,433 : 315,413.50 = 315,413.50 : x
2. Step 2: Convert to fraction form
   214,433/315,413.50 = 315,413.50/x
3. Step 3: Cross multiply
   214,433x = 315,413.50 × 315,413.50
4. Step 4: Simplify right side
   214,433x = 99,485,675,982.25
5. Step 5: Solve for x
   x = 99,485,675,982.25/214,433
6. Step 6: Final answer
   x = 463,947.60