Finding the Third Proportional to 374.81 and 804.56

Step by Step Solution

1. Step 1: Write the proportion equation
   374.81 : 804.56 = 804.56 : x
2. Step 2: Convert to fraction form
   374.81/804.56 = 804.56/x
3. Step 3: Cross multiply
   374.81x = 804.56 × 804.56
4. Step 4: Simplify right side
   374.81x = 647,320.82
5. Step 5: Solve for x
   x = 647,320.82/374.81
6. Step 6: Final answer
   x = 1,727.05