Finding the Third Proportional to 55,923 and 111,804

Step by Step Solution

1. Step 1: Write the proportion equation
   55,923 : 111,804 = 111,804 : x
2. Step 2: Convert to fraction form
   55,923/111,804 = 111,804/x
3. Step 3: Cross multiply
   55,923x = 111,804 × 111,804
4. Step 4: Simplify right side
   55,923x = 12,500,134,416
5. Step 5: Solve for x
   x = 12,500,134,416/55,923
6. Step 6: Final answer
   x = 223,524.03