Finding the Third Proportional to 142.25 and 336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142.25 : 336.50 = 336.50 : x
2. Step 2: Convert to fraction form
   142.25/336.50 = 336.50/x
3. Step 3: Cross multiply
   142.25x = 336.50 × 336.50
4. Step 4: Simplify right side
   142.25x = 113,232.25
5. Step 5: Solve for x
   x = 113,232.25/142.25
6. Step 6: Final answer
   x = 796.01