Finding the Third Proportional to 103,636 and 223,616

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 223,616 = 223,616 : x
2. Step 2: Convert to fraction form
   103,636/223,616 = 223,616/x
3. Step 3: Cross multiply
   103,636x = 223,616 × 223,616
4. Step 4: Simplify right side
   103,636x = 50,004,115,456
5. Step 5: Solve for x
   x = 50,004,115,456/103,636
6. Step 6: Final answer
   x = 482,497.54