Finding the Third Proportional to 33,399 and 86,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,399 : 86,413.50 = 86,413.50 : x
2. Step 2: Convert to fraction form
   33,399/86,413.50 = 86,413.50/x
3. Step 3: Cross multiply
   33,399x = 86,413.50 × 86,413.50
4. Step 4: Simplify right side
   33,399x = 7,467,292,982.25
5. Step 5: Solve for x
   x = 7,467,292,982.25/33,399
6. Step 6: Final answer
   x = 223,578.34