Finding the Third Proportional to 388.50 and 458.25

Step by Step Solution

1. Step 1: Write the proportion equation
   388.50 : 458.25 = 458.25 : x
2. Step 2: Convert to fraction form
   388.50/458.25 = 458.25/x
3. Step 3: Cross multiply
   388.50x = 458.25 × 458.25
4. Step 4: Simplify right side
   388.50x = 209,993.06
5. Step 5: Solve for x
   x = 209,993.06/388.50
6. Step 6: Final answer
   x = 540.52