Finding the Third Proportional to 367.50 and 800.88

Step by Step Solution

1. Step 1: Write the proportion equation
   367.50 : 800.88 = 800.88 : x
2. Step 2: Convert to fraction form
   367.50/800.88 = 800.88/x
3. Step 3: Cross multiply
   367.50x = 800.88 × 800.88
4. Step 4: Simplify right side
   367.50x = 641,400.77
5. Step 5: Solve for x
   x = 641,400.77/367.50
6. Step 6: Final answer
   x = 1,745.31