Finding the Third Proportional to 300.75 and 404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300.75 : 404.25 = 404.25 : x
2. Step 2: Convert to fraction form
   300.75/404.25 = 404.25/x
3. Step 3: Cross multiply
   300.75x = 404.25 × 404.25
4. Step 4: Simplify right side
   300.75x = 163,418.06
5. Step 5: Solve for x
   x = 163,418.06/300.75
6. Step 6: Final answer
   x = 543.37