Finding the Third Proportional to 142,508 and 200,407

Step by Step Solution

1. Step 1: Write the proportion equation
   142,508 : 200,407 = 200,407 : x
2. Step 2: Convert to fraction form
   142,508/200,407 = 200,407/x
3. Step 3: Cross multiply
   142,508x = 200,407 × 200,407
4. Step 4: Simplify right side
   142,508x = 40,162,965,649
5. Step 5: Solve for x
   x = 40,162,965,649/142,508
6. Step 6: Final answer
   x = 281,829.55