Finding the Third Proportional to 55,919 and 111,797

Step by Step Solution

1. Step 1: Write the proportion equation
   55,919 : 111,797 = 111,797 : x
2. Step 2: Convert to fraction form
   55,919/111,797 = 111,797/x
3. Step 3: Cross multiply
   55,919x = 111,797 × 111,797
4. Step 4: Simplify right side
   55,919x = 12,498,569,209
5. Step 5: Solve for x
   x = 12,498,569,209/55,919
6. Step 6: Final answer
   x = 223,512.03