Finding the Third Proportional to 102,021 and 143,413.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,021 : 143,413.75 = 143,413.75 : x
2. Step 2: Convert to fraction form
   102,021/143,413.75 = 143,413.75/x
3. Step 3: Cross multiply
   102,021x = 143,413.75 × 143,413.75
4. Step 4: Simplify right side
   102,021x = 20,567,503,689.06
5. Step 5: Solve for x
   x = 20,567,503,689.06/102,021
6. Step 6: Final answer
   x = 201,600.69