Finding the Third Proportional to 362.50 and 570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   362.50 : 570.25 = 570.25 : x
2. Step 2: Convert to fraction form
   362.50/570.25 = 570.25/x
3. Step 3: Cross multiply
   362.50x = 570.25 × 570.25
4. Step 4: Simplify right side
   362.50x = 325,185.06
5. Step 5: Solve for x
   x = 325,185.06/362.50
6. Step 6: Final answer
   x = 897.06