Finding the Third Proportional to 410,413.50 and 877,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   410,413.50 : 877,567.50 = 877,567.50 : x
2. Step 2: Convert to fraction form
   410,413.50/877,567.50 = 877,567.50/x
3. Step 3: Cross multiply
   410,413.50x = 877,567.50 × 877,567.50
4. Step 4: Simplify right side
   410,413.50x = 770,124,717,056.25
5. Step 5: Solve for x
   x = 770,124,717,056.25/410,413.50
6. Step 6: Final answer
   x = 1,876,460.49