Finding the Third Proportional to 368.72 and 466.59

Step by Step Solution

1. Step 1: Write the proportion equation
   368.72 : 466.59 = 466.59 : x
2. Step 2: Convert to fraction form
   368.72/466.59 = 466.59/x
3. Step 3: Cross multiply
   368.72x = 466.59 × 466.59
4. Step 4: Simplify right side
   368.72x = 217,709.73
5. Step 5: Solve for x
   x = 217,709.73/368.72
6. Step 6: Final answer
   x = 590.45