Finding the Third Proportional to 414,216 and 887,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,216 : 887,413.50 = 887,413.50 : x
2. Step 2: Convert to fraction form
   414,216/887,413.50 = 887,413.50/x
3. Step 3: Cross multiply
   414,216x = 887,413.50 × 887,413.50
4. Step 4: Simplify right side
   414,216x = 787,502,719,982.25
5. Step 5: Solve for x
   x = 787,502,719,982.25/414,216
6. Step 6: Final answer
   x = 1,901,188.56