Finding the Third Proportional to 367.22 and 764.72

Step by Step Solution

1. Step 1: Write the proportion equation
   367.22 : 764.72 = 764.72 : x
2. Step 2: Convert to fraction form
   367.22/764.72 = 764.72/x
3. Step 3: Cross multiply
   367.22x = 764.72 × 764.72
4. Step 4: Simplify right side
   367.22x = 584,794.77
5. Step 5: Solve for x
   x = 584,794.77/367.22
6. Step 6: Final answer
   x = 1,592.50