Finding the Third Proportional to 301.69 and 470.06

Step by Step Solution

1. Step 1: Write the proportion equation
   301.69 : 470.06 = 470.06 : x
2. Step 2: Convert to fraction form
   301.69/470.06 = 470.06/x
3. Step 3: Cross multiply
   301.69x = 470.06 × 470.06
4. Step 4: Simplify right side
   301.69x = 220,958.75
5. Step 5: Solve for x
   x = 220,958.75/301.69
6. Step 6: Final answer
   x = 732.41