Finding the Third Proportional to 98,082 and 212,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,082 : 212,413.50 = 212,413.50 : x
2. Step 2: Convert to fraction form
   98,082/212,413.50 = 212,413.50/x
3. Step 3: Cross multiply
   98,082x = 212,413.50 × 212,413.50
4. Step 4: Simplify right side
   98,082x = 45,119,494,982.25
5. Step 5: Solve for x
   x = 45,119,494,982.25/98,082
6. Step 6: Final answer
   x = 460,018.10