Finding the Third Proportional to 304.59 and 456.47

Step by Step Solution

1. Step 1: Write the proportion equation
   304.59 : 456.47 = 456.47 : x
2. Step 2: Convert to fraction form
   304.59/456.47 = 456.47/x
3. Step 3: Cross multiply
   304.59x = 456.47 × 456.47
4. Step 4: Simplify right side
   304.59x = 208,363.72
5. Step 5: Solve for x
   x = 208,363.72/304.59
6. Step 6: Final answer
   x = 684.07