Finding the Third Proportional to 354.56 and 496.03

Step by Step Solution

1. Step 1: Write the proportion equation
   354.56 : 496.03 = 496.03 : x
2. Step 2: Convert to fraction form
   354.56/496.03 = 496.03/x
3. Step 3: Cross multiply
   354.56x = 496.03 × 496.03
4. Step 4: Simplify right side
   354.56x = 246,047.00
5. Step 5: Solve for x
   x = 246,047.00/354.56
6. Step 6: Final answer
   x = 693.95