Finding the Third Proportional to 304.38 and 456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   304.38 : 456.56 = 456.56 : x
2. Step 2: Convert to fraction form
   304.38/456.56 = 456.56/x
3. Step 3: Cross multiply
   304.38x = 456.56 × 456.56
4. Step 4: Simplify right side
   304.38x = 208,449.32
5. Step 5: Solve for x
   x = 208,449.32/304.38
6. Step 6: Final answer
   x = 684.84