Finding the Third Proportional to 367.88 and 801.38

Step by Step Solution

1. Step 1: Write the proportion equation
   367.88 : 801.38 = 801.38 : x
2. Step 2: Convert to fraction form
   367.88/801.38 = 801.38/x
3. Step 3: Cross multiply
   367.88x = 801.38 × 801.38
4. Step 4: Simplify right side
   367.88x = 642,201.89
5. Step 5: Solve for x
   x = 642,201.89/367.88
6. Step 6: Final answer
   x = 1,745.71