Finding the Third Proportional to 300.38 and 622.13

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 622.13 = 622.13 : x
2. Step 2: Convert to fraction form
   300.38/622.13 = 622.13/x
3. Step 3: Cross multiply
   300.38x = 622.13 × 622.13
4. Step 4: Simplify right side
   300.38x = 387,039.52
5. Step 5: Solve for x
   x = 387,039.52/300.38
6. Step 6: Final answer
   x = 1,288.52