Finding the Third Proportional to 363.50 and 540.25

Step by Step Solution

1. Step 1: Write the proportion equation
   363.50 : 540.25 = 540.25 : x
2. Step 2: Convert to fraction form
   363.50/540.25 = 540.25/x
3. Step 3: Cross multiply
   363.50x = 540.25 × 540.25
4. Step 4: Simplify right side
   363.50x = 291,870.06
5. Step 5: Solve for x
   x = 291,870.06/363.50
6. Step 6: Final answer
   x = 802.94