Finding the Third Proportional to 142,996 and 282,400

Step by Step Solution

1. Step 1: Write the proportion equation
   142,996 : 282,400 = 282,400 : x
2. Step 2: Convert to fraction form
   142,996/282,400 = 282,400/x
3. Step 3: Cross multiply
   142,996x = 282,400 × 282,400
4. Step 4: Simplify right side
   142,996x = 79,749,760,000
5. Step 5: Solve for x
   x = 79,749,760,000/142,996
6. Step 6: Final answer
   x = 557,706.23