Finding the Third Proportional to 493.06 and 685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   493.06 : 685.56 = 685.56 : x
2. Step 2: Convert to fraction form
   493.06/685.56 = 685.56/x
3. Step 3: Cross multiply
   493.06x = 685.56 × 685.56
4. Step 4: Simplify right side
   493.06x = 469,995.94
5. Step 5: Solve for x
   x = 469,995.94/493.06
6. Step 6: Final answer
   x = 953.22