Finding the Third Proportional to 300.38 and 637.88

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 637.88 = 637.88 : x
2. Step 2: Convert to fraction form
   300.38/637.88 = 637.88/x
3. Step 3: Cross multiply
   300.38x = 637.88 × 637.88
4. Step 4: Simplify right side
   300.38x = 406,884.52
5. Step 5: Solve for x
   x = 406,884.52/300.38
6. Step 6: Final answer
   x = 1,354.59