Finding the Third Proportional to 300.75 and 597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300.75 : 597.25 = 597.25 : x
2. Step 2: Convert to fraction form
   300.75/597.25 = 597.25/x
3. Step 3: Cross multiply
   300.75x = 597.25 × 597.25
4. Step 4: Simplify right side
   300.75x = 356,707.56
5. Step 5: Solve for x
   x = 356,707.56/300.75
6. Step 6: Final answer
   x = 1,186.06