Finding the Third Proportional to 142.50 and 332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 332.50 = 332.50 : x
2. Step 2: Convert to fraction form
   142.50/332.50 = 332.50/x
3. Step 3: Cross multiply
   142.50x = 332.50 × 332.50
4. Step 4: Simplify right side
   142.50x = 110,556.25
5. Step 5: Solve for x
   x = 110,556.25/142.50
6. Step 6: Final answer
   x = 775.83