Finding the Third Proportional to 46,742.50 and 101,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,742.50 : 101,413.50 = 101,413.50 : x
2. Step 2: Convert to fraction form
   46,742.50/101,413.50 = 101,413.50/x
3. Step 3: Cross multiply
   46,742.50x = 101,413.50 × 101,413.50
4. Step 4: Simplify right side
   46,742.50x = 10,284,697,982.25
5. Step 5: Solve for x
   x = 10,284,697,982.25/46,742.50
6. Step 6: Final answer
   x = 220,028.84