Finding the Third Proportional to 300.38 and 659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 659.06 = 659.06 : x
2. Step 2: Convert to fraction form
   300.38/659.06 = 659.06/x
3. Step 3: Cross multiply
   300.38x = 659.06 × 659.06
4. Step 4: Simplify right side
   300.38x = 434,363.38
5. Step 5: Solve for x
   x = 434,363.38/300.38
6. Step 6: Final answer
   x = 1,446.07