Finding the Third Proportional to 141.75 and 268.52

Step by Step Solution

1. Step 1: Write the proportion equation
   141.75 : 268.52 = 268.52 : x
2. Step 2: Convert to fraction form
   141.75/268.52 = 268.52/x
3. Step 3: Cross multiply
   141.75x = 268.52 × 268.52
4. Step 4: Simplify right side
   141.75x = 72,104.84
5. Step 5: Solve for x
   x = 72,104.84/141.75
6. Step 6: Final answer
   x = 508.68