Finding the Third Proportional to 512.50 and 560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512.50 : 560.50 = 560.50 : x
2. Step 2: Convert to fraction form
   512.50/560.50 = 560.50/x
3. Step 3: Cross multiply
   512.50x = 560.50 × 560.50
4. Step 4: Simplify right side
   512.50x = 314,160.25
5. Step 5: Solve for x
   x = 314,160.25/512.50
6. Step 6: Final answer
   x = 613.00