Finding the Third Proportional to 362.81 and 801.56

Step by Step Solution

1. Step 1: Write the proportion equation
   362.81 : 801.56 = 801.56 : x
2. Step 2: Convert to fraction form
   362.81/801.56 = 801.56/x
3. Step 3: Cross multiply
   362.81x = 801.56 × 801.56
4. Step 4: Simplify right side
   362.81x = 642,502.44
5. Step 5: Solve for x
   x = 642,502.44/362.81
6. Step 6: Final answer
   x = 1,770.89