Finding the Third Proportional to 142,304 and 223,224

Step by Step Solution

1. Step 1: Write the proportion equation
   142,304 : 223,224 = 223,224 : x
2. Step 2: Convert to fraction form
   142,304/223,224 = 223,224/x
3. Step 3: Cross multiply
   142,304x = 223,224 × 223,224
4. Step 4: Simplify right side
   142,304x = 49,828,954,176
5. Step 5: Solve for x
   x = 49,828,954,176/142,304
6. Step 6: Final answer
   x = 350,158.49