Finding the Third Proportional to 142.59 and 322.03

Step by Step Solution

1. Step 1: Write the proportion equation
   142.59 : 322.03 = 322.03 : x
2. Step 2: Convert to fraction form
   142.59/322.03 = 322.03/x
3. Step 3: Cross multiply
   142.59x = 322.03 × 322.03
4. Step 4: Simplify right side
   142.59x = 103,704.13
5. Step 5: Solve for x
   x = 103,704.13/142.59
6. Step 6: Final answer
   x = 727.27