Finding the Third Proportional to 142.59 and 307.45

Step by Step Solution

1. Step 1: Write the proportion equation
   142.59 : 307.45 = 307.45 : x
2. Step 2: Convert to fraction form
   142.59/307.45 = 307.45/x
3. Step 3: Cross multiply
   142.59x = 307.45 × 307.45
4. Step 4: Simplify right side
   142.59x = 94,527.42
5. Step 5: Solve for x
   x = 94,527.42/142.59
6. Step 6: Final answer
   x = 662.91