Finding the Third Proportional to 498.50 and 755.75

Step by Step Solution

1. Step 1: Write the proportion equation
   498.50 : 755.75 = 755.75 : x
2. Step 2: Convert to fraction form
   498.50/755.75 = 755.75/x
3. Step 3: Cross multiply
   498.50x = 755.75 × 755.75
4. Step 4: Simplify right side
   498.50x = 571,158.06
5. Step 5: Solve for x
   x = 571,158.06/498.50
6. Step 6: Final answer
   x = 1,145.75