Finding the Third Proportional to 367.76 and 800.40

Step by Step Solution

1. Step 1: Write the proportion equation
   367.76 : 800.40 = 800.40 : x
2. Step 2: Convert to fraction form
   367.76/800.40 = 800.40/x
3. Step 3: Cross multiply
   367.76x = 800.40 × 800.40
4. Step 4: Simplify right side
   367.76x = 640,644.57
5. Step 5: Solve for x
   x = 640,644.57/367.76
6. Step 6: Final answer
   x = 1,742.00