Finding the Third Proportional to 493.50 and 689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   493.50 : 689.25 = 689.25 : x
2. Step 2: Convert to fraction form
   493.50/689.25 = 689.25/x
3. Step 3: Cross multiply
   493.50x = 689.25 × 689.25
4. Step 4: Simplify right side
   493.50x = 475,065.56
5. Step 5: Solve for x
   x = 475,065.56/493.50
6. Step 6: Final answer
   x = 962.65