Finding the Third Proportional to 496.13 and 695.46

Step by Step Solution

1. Step 1: Write the proportion equation
   496.13 : 695.46 = 695.46 : x
2. Step 2: Convert to fraction form
   496.13/695.46 = 695.46/x
3. Step 3: Cross multiply
   496.13x = 695.46 × 695.46
4. Step 4: Simplify right side
   496.13x = 483,665.92
5. Step 5: Solve for x
   x = 483,665.92/496.13
6. Step 6: Final answer
   x = 974.89