Finding the Third Proportional to 304.38 and 714.69

Step by Step Solution

1. Step 1: Write the proportion equation
   304.38 : 714.69 = 714.69 : x
2. Step 2: Convert to fraction form
   304.38/714.69 = 714.69/x
3. Step 3: Cross multiply
   304.38x = 714.69 × 714.69
4. Step 4: Simplify right side
   304.38x = 510,778.22
5. Step 5: Solve for x
   x = 510,778.22/304.38
6. Step 6: Final answer
   x = 1,678.12