Finding the Third Proportional to 142.73 and 295.59

Step by Step Solution

1. Step 1: Write the proportion equation
   142.73 : 295.59 = 295.59 : x
2. Step 2: Convert to fraction form
   142.73/295.59 = 295.59/x
3. Step 3: Cross multiply
   142.73x = 295.59 × 295.59
4. Step 4: Simplify right side
   142.73x = 87,375.67
5. Step 5: Solve for x
   x = 87,375.67/142.73
6. Step 6: Final answer
   x = 612.16