Finding the Third Proportional to 300.25 and 477.94

Step by Step Solution

1. Step 1: Write the proportion equation
   300.25 : 477.94 = 477.94 : x
2. Step 2: Convert to fraction form
   300.25/477.94 = 477.94/x
3. Step 3: Cross multiply
   300.25x = 477.94 × 477.94
4. Step 4: Simplify right side
   300.25x = 228,424.25
5. Step 5: Solve for x
   x = 228,424.25/300.25
6. Step 6: Final answer
   x = 760.78