Finding the Third Proportional to 359.25 and 540.38

Step by Step Solution

1. Step 1: Write the proportion equation
   359.25 : 540.38 = 540.38 : x
2. Step 2: Convert to fraction form
   359.25/540.38 = 540.38/x
3. Step 3: Cross multiply
   359.25x = 540.38 × 540.38
4. Step 4: Simplify right side
   359.25x = 292,005.14
5. Step 5: Solve for x
   x = 292,005.14/359.25
6. Step 6: Final answer
   x = 812.82