Finding the Third Proportional to 185.50 and 262.88

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 262.88 = 262.88 : x
2. Step 2: Convert to fraction form
   185.50/262.88 = 262.88/x
3. Step 3: Cross multiply
   185.50x = 262.88 × 262.88
4. Step 4: Simplify right side
   185.50x = 69,103.27
5. Step 5: Solve for x
   x = 69,103.27/185.50
6. Step 6: Final answer
   x = 372.52