Finding the Third Proportional to 111,722 and 217,834

Step by Step Solution

1. Step 1: Write the proportion equation
   111,722 : 217,834 = 217,834 : x
2. Step 2: Convert to fraction form
   111,722/217,834 = 217,834/x
3. Step 3: Cross multiply
   111,722x = 217,834 × 217,834
4. Step 4: Simplify right side
   111,722x = 47,451,651,556
5. Step 5: Solve for x
   x = 47,451,651,556/111,722
6. Step 6: Final answer
   x = 424,729.70