Finding the Third Proportional to 140,212 and 223,204

Step by Step Solution

1. Step 1: Write the proportion equation
   140,212 : 223,204 = 223,204 : x
2. Step 2: Convert to fraction form
   140,212/223,204 = 223,204/x
3. Step 3: Cross multiply
   140,212x = 223,204 × 223,204
4. Step 4: Simplify right side
   140,212x = 49,820,025,616
5. Step 5: Solve for x
   x = 49,820,025,616/140,212
6. Step 6: Final answer
   x = 355,319.27