Finding the Third Proportional to 300.38 and 655.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 655.38 = 655.38 : x
2. Step 2: Convert to fraction form
   300.38/655.38 = 655.38/x
3. Step 3: Cross multiply
   300.38x = 655.38 × 655.38
4. Step 4: Simplify right side
   300.38x = 429,526.63
5. Step 5: Solve for x
   x = 429,526.63/300.38
6. Step 6: Final answer
   x = 1,429.97