Finding the Third Proportional to 363.38 and 546.56

Step by Step Solution

1. Step 1: Write the proportion equation
   363.38 : 546.56 = 546.56 : x
2. Step 2: Convert to fraction form
   363.38/546.56 = 546.56/x
3. Step 3: Cross multiply
   363.38x = 546.56 × 546.56
4. Step 4: Simplify right side
   363.38x = 298,730.57
5. Step 5: Solve for x
   x = 298,730.57/363.38
6. Step 6: Final answer
   x = 822.10