Finding the Third Proportional to 142.50 and 306.63

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 306.63 = 306.63 : x
2. Step 2: Convert to fraction form
   142.50/306.63 = 306.63/x
3. Step 3: Cross multiply
   142.50x = 306.63 × 306.63
4. Step 4: Simplify right side
   142.50x = 94,018.89
5. Step 5: Solve for x
   x = 94,018.89/142.50
6. Step 6: Final answer
   x = 659.78