Finding the Third Proportional to 142.59 and 264.94

Step by Step Solution

1. Step 1: Write the proportion equation
   142.59 : 264.94 = 264.94 : x
2. Step 2: Convert to fraction form
   142.59/264.94 = 264.94/x
3. Step 3: Cross multiply
   142.59x = 264.94 × 264.94
4. Step 4: Simplify right side
   142.59x = 70,191.88
5. Step 5: Solve for x
   x = 70,191.88/142.59
6. Step 6: Final answer
   x = 492.25