Finding the Third Proportional to 50,986 and 111,820

Step by Step Solution

1. Step 1: Write the proportion equation
   50,986 : 111,820 = 111,820 : x
2. Step 2: Convert to fraction form
   50,986/111,820 = 111,820/x
3. Step 3: Cross multiply
   50,986x = 111,820 × 111,820
4. Step 4: Simplify right side
   50,986x = 12,503,712,400
5. Step 5: Solve for x
   x = 12,503,712,400/50,986
6. Step 6: Final answer
   x = 245,238.15