Finding the Third Proportional to 363.30 and 472.71

Step by Step Solution

1. Step 1: Write the proportion equation
   363.30 : 472.71 = 472.71 : x
2. Step 2: Convert to fraction form
   363.30/472.71 = 472.71/x
3. Step 3: Cross multiply
   363.30x = 472.71 × 472.71
4. Step 4: Simplify right side
   363.30x = 223,455.63
5. Step 5: Solve for x
   x = 223,455.63/363.30
6. Step 6: Final answer
   x = 615.06