Finding the Third Proportional to 142,416 and 200,367

Step by Step Solution

1. Step 1: Write the proportion equation
   142,416 : 200,367 = 200,367 : x
2. Step 2: Convert to fraction form
   142,416/200,367 = 200,367/x
3. Step 3: Cross multiply
   142,416x = 200,367 × 200,367
4. Step 4: Simplify right side
   142,416x = 40,146,934,689
5. Step 5: Solve for x
   x = 40,146,934,689/142,416
6. Step 6: Final answer
   x = 281,899.05