Finding the Third Proportional to 142.50 and 334.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 334.38 = 334.38 : x
2. Step 2: Convert to fraction form
   142.50/334.38 = 334.38/x
3. Step 3: Cross multiply
   142.50x = 334.38 × 334.38
4. Step 4: Simplify right side
   142.50x = 111,806.64
5. Step 5: Solve for x
   x = 111,806.64/142.50
6. Step 6: Final answer
   x = 784.61