Finding the Third Proportional to 100,573 and 209,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,573 : 209,413.50 = 209,413.50 : x
2. Step 2: Convert to fraction form
   100,573/209,413.50 = 209,413.50/x
3. Step 3: Cross multiply
   100,573x = 209,413.50 × 209,413.50
4. Step 4: Simplify right side
   100,573x = 43,854,013,982.25
5. Step 5: Solve for x
   x = 43,854,013,982.25/100,573
6. Step 6: Final answer
   x = 436,041.62