Finding the Third Proportional to 111,771 and 217,939.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,771 : 217,939.50 = 217,939.50 : x
2. Step 2: Convert to fraction form
   111,771/217,939.50 = 217,939.50/x
3. Step 3: Cross multiply
   111,771x = 217,939.50 × 217,939.50
4. Step 4: Simplify right side
   111,771x = 47,497,625,660.25
5. Step 5: Solve for x
   x = 47,497,625,660.25/111,771
6. Step 6: Final answer
   x = 424,954.82