Finding the Third Proportional to 142.50 and 199.88

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 199.88 = 199.88 : x
2. Step 2: Convert to fraction form
   142.50/199.88 = 199.88/x
3. Step 3: Cross multiply
   142.50x = 199.88 × 199.88
4. Step 4: Simplify right side
   142.50x = 39,950.02
5. Step 5: Solve for x
   x = 39,950.02/142.50
6. Step 6: Final answer
   x = 280.35