Finding the Third Proportional to 496.55 and 928.55

Step by Step Solution

1. Step 1: Write the proportion equation
   496.55 : 928.55 = 928.55 : x
2. Step 2: Convert to fraction form
   496.55/928.55 = 928.55/x
3. Step 3: Cross multiply
   496.55x = 928.55 × 928.55
4. Step 4: Simplify right side
   496.55x = 862,199.30
5. Step 5: Solve for x
   x = 862,199.30/496.55
6. Step 6: Final answer
   x = 1,736.39