Finding the Third Proportional to 366.50 and 498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   366.50 : 498.25 = 498.25 : x
2. Step 2: Convert to fraction form
   366.50/498.25 = 498.25/x
3. Step 3: Cross multiply
   366.50x = 498.25 × 498.25
4. Step 4: Simplify right side
   366.50x = 248,253.06
5. Step 5: Solve for x
   x = 248,253.06/366.50
6. Step 6: Final answer
   x = 677.36