Finding the Third Proportional to 111,555 and 217,504

Step by Step Solution

1. Step 1: Write the proportion equation
   111,555 : 217,504 = 217,504 : x
2. Step 2: Convert to fraction form
   111,555/217,504 = 217,504/x
3. Step 3: Cross multiply
   111,555x = 217,504 × 217,504
4. Step 4: Simplify right side
   111,555x = 47,307,990,016
5. Step 5: Solve for x
   x = 47,307,990,016/111,555
6. Step 6: Final answer
   x = 424,077.72