Finding the Third Proportional to 103,601 and 223,142

Step by Step Solution

1. Step 1: Write the proportion equation
   103,601 : 223,142 = 223,142 : x
2. Step 2: Convert to fraction form
   103,601/223,142 = 223,142/x
3. Step 3: Cross multiply
   103,601x = 223,142 × 223,142
4. Step 4: Simplify right side
   103,601x = 49,792,352,164
5. Step 5: Solve for x
   x = 49,792,352,164/103,601
6. Step 6: Final answer
   x = 480,616.52