Finding the Third Proportional to 367.88 and 549.56

Step by Step Solution

1. Step 1: Write the proportion equation
   367.88 : 549.56 = 549.56 : x
2. Step 2: Convert to fraction form
   367.88/549.56 = 549.56/x
3. Step 3: Cross multiply
   367.88x = 549.56 × 549.56
4. Step 4: Simplify right side
   367.88x = 302,018.94
5. Step 5: Solve for x
   x = 302,018.94/367.88
6. Step 6: Final answer
   x = 820.98