Finding the Third Proportional to 503.50 and 712.75

Step by Step Solution

1. Step 1: Write the proportion equation
   503.50 : 712.75 = 712.75 : x
2. Step 2: Convert to fraction form
   503.50/712.75 = 712.75/x
3. Step 3: Cross multiply
   503.50x = 712.75 × 712.75
4. Step 4: Simplify right side
   503.50x = 508,012.56
5. Step 5: Solve for x
   x = 508,012.56/503.50
6. Step 6: Final answer
   x = 1,008.96