Finding the Third Proportional to 514.50 and 753.56

Step by Step Solution

1. Step 1: Write the proportion equation
   514.50 : 753.56 = 753.56 : x
2. Step 2: Convert to fraction form
   514.50/753.56 = 753.56/x
3. Step 3: Cross multiply
   514.50x = 753.56 × 753.56
4. Step 4: Simplify right side
   514.50x = 567,856.44
5. Step 5: Solve for x
   x = 567,856.44/514.50
6. Step 6: Final answer
   x = 1,103.71