Finding the Third Proportional to 142,790 and 200,576

Step by Step Solution

1. Step 1: Write the proportion equation
   142,790 : 200,576 = 200,576 : x
2. Step 2: Convert to fraction form
   142,790/200,576 = 200,576/x
3. Step 3: Cross multiply
   142,790x = 200,576 × 200,576
4. Step 4: Simplify right side
   142,790x = 40,230,731,776
5. Step 5: Solve for x
   x = 40,230,731,776/142,790
6. Step 6: Final answer
   x = 281,747.54