Finding the Third Proportional to 50,842 and 111,524

Step by Step Solution

1. Step 1: Write the proportion equation
   50,842 : 111,524 = 111,524 : x
2. Step 2: Convert to fraction form
   50,842/111,524 = 111,524/x
3. Step 3: Cross multiply
   50,842x = 111,524 × 111,524
4. Step 4: Simplify right side
   50,842x = 12,437,602,576
5. Step 5: Solve for x
   x = 12,437,602,576/50,842
6. Step 6: Final answer
   x = 244,632.44