Finding the Third Proportional to 500.25 and 568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500.25 : 568.50 = 568.50 : x
2. Step 2: Convert to fraction form
   500.25/568.50 = 568.50/x
3. Step 3: Cross multiply
   500.25x = 568.50 × 568.50
4. Step 4: Simplify right side
   500.25x = 323,192.25
5. Step 5: Solve for x
   x = 323,192.25/500.25
6. Step 6: Final answer
   x = 646.06