Finding the Third Proportional to 142,304 and 213,834

Step by Step Solution

1. Step 1: Write the proportion equation
   142,304 : 213,834 = 213,834 : x
2. Step 2: Convert to fraction form
   142,304/213,834 = 213,834/x
3. Step 3: Cross multiply
   142,304x = 213,834 × 213,834
4. Step 4: Simplify right side
   142,304x = 45,724,979,556
5. Step 5: Solve for x
   x = 45,724,979,556/142,304
6. Step 6: Final answer
   x = 321,319.00