Finding the Third Proportional to 142,519.50 and 200,424.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,519.50 : 200,424.38 = 200,424.38 : x
2. Step 2: Convert to fraction form
   142,519.50/200,424.38 = 200,424.38/x
3. Step 3: Cross multiply
   142,519.50x = 200,424.38 × 200,424.38
4. Step 4: Simplify right side
   142,519.50x = 40,169,930,094.14
5. Step 5: Solve for x
   x = 40,169,930,094.14/142,519.50
6. Step 6: Final answer
   x = 281,855.68