Finding the Third Proportional to 477.56 and 796.92

Step by Step Solution

1. Step 1: Write the proportion equation
   477.56 : 796.92 = 796.92 : x
2. Step 2: Convert to fraction form
   477.56/796.92 = 796.92/x
3. Step 3: Cross multiply
   477.56x = 796.92 × 796.92
4. Step 4: Simplify right side
   477.56x = 635,084.47
5. Step 5: Solve for x
   x = 635,084.47/477.56
6. Step 6: Final answer
   x = 1,329.85