Finding the Third Proportional to 50,780 and 111,406

Step by Step Solution

1. Step 1: Write the proportion equation
   50,780 : 111,406 = 111,406 : x
2. Step 2: Convert to fraction form
   50,780/111,406 = 111,406/x
3. Step 3: Cross multiply
   50,780x = 111,406 × 111,406
4. Step 4: Simplify right side
   50,780x = 12,411,296,836
5. Step 5: Solve for x
   x = 12,411,296,836/50,780
6. Step 6: Final answer
   x = 244,413.09