Finding the Third Proportional to 300.09 and 470.81

Step by Step Solution

1. Step 1: Write the proportion equation
   300.09 : 470.81 = 470.81 : x
2. Step 2: Convert to fraction form
   300.09/470.81 = 470.81/x
3. Step 3: Cross multiply
   300.09x = 470.81 × 470.81
4. Step 4: Simplify right side
   300.09x = 221,664.41
5. Step 5: Solve for x
   x = 221,664.41/300.09
6. Step 6: Final answer
   x = 738.65