Finding the Third Proportional to 164.50 and 388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164.50 : 388.25 = 388.25 : x
2. Step 2: Convert to fraction form
   164.50/388.25 = 388.25/x
3. Step 3: Cross multiply
   164.50x = 388.25 × 388.25
4. Step 4: Simplify right side
   164.50x = 150,738.06
5. Step 5: Solve for x
   x = 150,738.06/164.50
6. Step 6: Final answer
   x = 916.34