Finding the Third Proportional to 415.13 and 443.81

Step by Step Solution

1. Step 1: Write the proportion equation
   415.13 : 443.81 = 443.81 : x
2. Step 2: Convert to fraction form
   415.13/443.81 = 443.81/x
3. Step 3: Cross multiply
   415.13x = 443.81 × 443.81
4. Step 4: Simplify right side
   415.13x = 196,969.54
5. Step 5: Solve for x
   x = 196,969.54/415.13
6. Step 6: Final answer
   x = 474.48