Finding the Third Proportional to 55,923 and 111,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,923 : 111,805.50 = 111,805.50 : x
2. Step 2: Convert to fraction form
   55,923/111,805.50 = 111,805.50/x
3. Step 3: Cross multiply
   55,923x = 111,805.50 × 111,805.50
4. Step 4: Simplify right side
   55,923x = 12,500,469,830.25
5. Step 5: Solve for x
   x = 12,500,469,830.25/55,923
6. Step 6: Final answer
   x = 223,530.03