Finding the Third Proportional to 142.50 and 336.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 336.75 = 336.75 : x
2. Step 2: Convert to fraction form
   142.50/336.75 = 336.75/x
3. Step 3: Cross multiply
   142.50x = 336.75 × 336.75
4. Step 4: Simplify right side
   142.50x = 113,400.56
5. Step 5: Solve for x
   x = 113,400.56/142.50
6. Step 6: Final answer
   x = 795.79