Finding the Third Proportional to 388.50 and 606.38

Step by Step Solution

1. Step 1: Write the proportion equation
   388.50 : 606.38 = 606.38 : x
2. Step 2: Convert to fraction form
   388.50/606.38 = 606.38/x
3. Step 3: Cross multiply
   388.50x = 606.38 × 606.38
4. Step 4: Simplify right side
   388.50x = 367,690.64
5. Step 5: Solve for x
   x = 367,690.64/388.50
6. Step 6: Final answer
   x = 946.44