Finding the Third Proportional to 304.56 and 459.56

Step by Step Solution

1. Step 1: Write the proportion equation
   304.56 : 459.56 = 459.56 : x
2. Step 2: Convert to fraction form
   304.56/459.56 = 459.56/x
3. Step 3: Cross multiply
   304.56x = 459.56 × 459.56
4. Step 4: Simplify right side
   304.56x = 211,197.69
5. Step 5: Solve for x
   x = 211,197.69/304.56
6. Step 6: Final answer
   x = 693.46