Finding the Third Proportional to 102,020.50 and 143,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,020.50 : 143,413.50 = 143,413.50 : x
2. Step 2: Convert to fraction form
   102,020.50/143,413.50 = 143,413.50/x
3. Step 3: Cross multiply
   102,020.50x = 143,413.50 × 143,413.50
4. Step 4: Simplify right side
   102,020.50x = 20,567,431,982.25
5. Step 5: Solve for x
   x = 20,567,431,982.25/102,020.50
6. Step 6: Final answer
   x = 201,600.97