Finding the Third Proportional to 101.25 and 225.69

Step by Step Solution

1. Step 1: Write the proportion equation
   101.25 : 225.69 = 225.69 : x
2. Step 2: Convert to fraction form
   101.25/225.69 = 225.69/x
3. Step 3: Cross multiply
   101.25x = 225.69 × 225.69
4. Step 4: Simplify right side
   101.25x = 50,934.85
5. Step 5: Solve for x
   x = 50,934.85/101.25
6. Step 6: Final answer
   x = 503.06