Finding the Third Proportional to 362.25 and 540.56

Step by Step Solution

1. Step 1: Write the proportion equation
   362.25 : 540.56 = 540.56 : x
2. Step 2: Convert to fraction form
   362.25/540.56 = 540.56/x
3. Step 3: Cross multiply
   362.25x = 540.56 × 540.56
4. Step 4: Simplify right side
   362.25x = 292,207.82
5. Step 5: Solve for x
   x = 292,207.82/362.25
6. Step 6: Final answer
   x = 806.65