Finding the Third Proportional to 365.91 and 494.72

Step by Step Solution

1. Step 1: Write the proportion equation
   365.91 : 494.72 = 494.72 : x
2. Step 2: Convert to fraction form
   365.91/494.72 = 494.72/x
3. Step 3: Cross multiply
   365.91x = 494.72 × 494.72
4. Step 4: Simplify right side
   365.91x = 244,746.64
5. Step 5: Solve for x
   x = 244,746.64/365.91
6. Step 6: Final answer
   x = 668.88