Finding the Third Proportional to 388.50 and 493.88

Step by Step Solution

1. Step 1: Write the proportion equation
   388.50 : 493.88 = 493.88 : x
2. Step 2: Convert to fraction form
   388.50/493.88 = 493.88/x
3. Step 3: Cross multiply
   388.50x = 493.88 × 493.88
4. Step 4: Simplify right side
   388.50x = 243,912.52
5. Step 5: Solve for x
   x = 243,912.52/388.50
6. Step 6: Final answer
   x = 627.83