Finding the Third Proportional to 388.41 and 504.56

Step by Step Solution

1. Step 1: Write the proportion equation
   388.41 : 504.56 = 504.56 : x
2. Step 2: Convert to fraction form
   388.41/504.56 = 504.56/x
3. Step 3: Cross multiply
   388.41x = 504.56 × 504.56
4. Step 4: Simplify right side
   388.41x = 254,583.32
5. Step 5: Solve for x
   x = 254,583.32/388.41
6. Step 6: Final answer
   x = 655.46