Finding the Third Proportional to 233.50 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233.50 : 564.50 = 564.50 : x
2. Step 2: Convert to fraction form
   233.50/564.50 = 564.50/x
3. Step 3: Cross multiply
   233.50x = 564.50 × 564.50
4. Step 4: Simplify right side
   233.50x = 318,660.25
5. Step 5: Solve for x
   x = 318,660.25/233.50
6. Step 6: Final answer
   x = 1,364.71