Finding the Third Proportional to 103,599 and 221,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,599 : 221,413.50 = 221,413.50 : x
2. Step 2: Convert to fraction form
   103,599/221,413.50 = 221,413.50/x
3. Step 3: Cross multiply
   103,599x = 221,413.50 × 221,413.50
4. Step 4: Simplify right side
   103,599x = 49,023,937,982.25
5. Step 5: Solve for x
   x = 49,023,937,982.25/103,599
6. Step 6: Final answer
   x = 473,208.60