Finding the Third Proportional to 142,884 and 200,664

Step by Step Solution

1. Step 1: Write the proportion equation
   142,884 : 200,664 = 200,664 : x
2. Step 2: Convert to fraction form
   142,884/200,664 = 200,664/x
3. Step 3: Cross multiply
   142,884x = 200,664 × 200,664
4. Step 4: Simplify right side
   142,884x = 40,266,040,896
5. Step 5: Solve for x
   x = 40,266,040,896/142,884
6. Step 6: Final answer
   x = 281,809.31