Finding the Third Proportional to 142,596 and 200,592

Step by Step Solution

1. Step 1: Write the proportion equation
   142,596 : 200,592 = 200,592 : x
2. Step 2: Convert to fraction form
   142,596/200,592 = 200,592/x
3. Step 3: Cross multiply
   142,596x = 200,592 × 200,592
4. Step 4: Simplify right side
   142,596x = 40,237,150,464
5. Step 5: Solve for x
   x = 40,237,150,464/142,596
6. Step 6: Final answer
   x = 282,175.87