Finding the Third Proportional to 185.75 and 225.69

Step by Step Solution

1. Step 1: Write the proportion equation
   185.75 : 225.69 = 225.69 : x
2. Step 2: Convert to fraction form
   185.75/225.69 = 225.69/x
3. Step 3: Cross multiply
   185.75x = 225.69 × 225.69
4. Step 4: Simplify right side
   185.75x = 50,934.85
5. Step 5: Solve for x
   x = 50,934.85/185.75
6. Step 6: Final answer
   x = 274.21