Finding the Third Proportional to 444.56 and 697.31

Step by Step Solution

1. Step 1: Write the proportion equation
   444.56 : 697.31 = 697.31 : x
2. Step 2: Convert to fraction form
   444.56/697.31 = 697.31/x
3. Step 3: Cross multiply
   444.56x = 697.31 × 697.31
4. Step 4: Simplify right side
   444.56x = 486,244.72
5. Step 5: Solve for x
   x = 486,244.72/444.56
6. Step 6: Final answer
   x = 1,093.76