Finding the Third Proportional to 447.56 and 492.56

Step by Step Solution

1. Step 1: Write the proportion equation
   447.56 : 492.56 = 492.56 : x
2. Step 2: Convert to fraction form
   447.56/492.56 = 492.56/x
3. Step 3: Cross multiply
   447.56x = 492.56 × 492.56
4. Step 4: Simplify right side
   447.56x = 242,617.82
5. Step 5: Solve for x
   x = 242,617.82/447.56
6. Step 6: Final answer
   x = 542.09