Finding the Third Proportional to 364.50 and 488.53

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 488.53 = 488.53 : x
2. Step 2: Convert to fraction form
   364.50/488.53 = 488.53/x
3. Step 3: Cross multiply
   364.50x = 488.53 × 488.53
4. Step 4: Simplify right side
   364.50x = 238,662.78
5. Step 5: Solve for x
   x = 238,662.78/364.50
6. Step 6: Final answer
   x = 654.77