Finding the Third Proportional to 142.50 and 322.88

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 322.88 = 322.88 : x
2. Step 2: Convert to fraction form
   142.50/322.88 = 322.88/x
3. Step 3: Cross multiply
   142.50x = 322.88 × 322.88
4. Step 4: Simplify right side
   142.50x = 104,248.27
5. Step 5: Solve for x
   x = 104,248.27/142.50
6. Step 6: Final answer
   x = 731.57