Finding the Third Proportional to 300 and 655.69

Step by Step Solution

1. Step 1: Write the proportion equation
   300 : 655.69 = 655.69 : x
2. Step 2: Convert to fraction form
   300/655.69 = 655.69/x
3. Step 3: Cross multiply
   300x = 655.69 × 655.69
4. Step 4: Simplify right side
   300x = 429,926.10
5. Step 5: Solve for x
   x = 429,926.10/300
6. Step 6: Final answer
   x = 1,433.09