Finding the Third Proportional to 50,822 and 111,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,822 : 111,458.50 = 111,458.50 : x
2. Step 2: Convert to fraction form
   50,822/111,458.50 = 111,458.50/x
3. Step 3: Cross multiply
   50,822x = 111,458.50 × 111,458.50
4. Step 4: Simplify right side
   50,822x = 12,422,997,222.25
5. Step 5: Solve for x
   x = 12,422,997,222.25/50,822
6. Step 6: Final answer
   x = 244,441.33