Finding the Third Proportional to 142,425 and 200,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,425 : 200,380.50 = 200,380.50 : x
2. Step 2: Convert to fraction form
   142,425/200,380.50 = 200,380.50/x
3. Step 3: Cross multiply
   142,425x = 200,380.50 × 200,380.50
4. Step 4: Simplify right side
   142,425x = 40,152,344,780.25
5. Step 5: Solve for x
   x = 40,152,344,780.25/142,425
6. Step 6: Final answer
   x = 281,919.22