Finding the Third Proportional to 300.38 and 365.81

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 365.81 = 365.81 : x
2. Step 2: Convert to fraction form
   300.38/365.81 = 365.81/x
3. Step 3: Cross multiply
   300.38x = 365.81 × 365.81
4. Step 4: Simplify right side
   300.38x = 133,818.79
5. Step 5: Solve for x
   x = 133,818.79/300.38
6. Step 6: Final answer
   x = 445.51