Finding the Third Proportional to 264.75 and 388.31

Step by Step Solution

1. Step 1: Write the proportion equation
   264.75 : 388.31 = 388.31 : x
2. Step 2: Convert to fraction form
   264.75/388.31 = 388.31/x
3. Step 3: Cross multiply
   264.75x = 388.31 × 388.31
4. Step 4: Simplify right side
   264.75x = 150,786.60
5. Step 5: Solve for x
   x = 150,786.60/264.75
6. Step 6: Final answer
   x = 569.54