Finding the Third Proportional to 304.17 and 456.05

Step by Step Solution

1. Step 1: Write the proportion equation
   304.17 : 456.05 = 456.05 : x
2. Step 2: Convert to fraction form
   304.17/456.05 = 456.05/x
3. Step 3: Cross multiply
   304.17x = 456.05 × 456.05
4. Step 4: Simplify right side
   304.17x = 207,978.75
5. Step 5: Solve for x
   x = 207,978.75/304.17
6. Step 6: Final answer
   x = 683.75