Finding the Third Proportional to 581.94 and 1,228.56

Step by Step Solution

1. Step 1: Write the proportion equation
   581.94 : 1,228.56 = 1,228.56 : x
2. Step 2: Convert to fraction form
   581.94/1,228.56 = 1,228.56/x
3. Step 3: Cross multiply
   581.94x = 1,228.56 × 1,228.56
4. Step 4: Simplify right side
   581.94x = 1,509,365.82
5. Step 5: Solve for x
   x = 1,509,365.82/581.94
6. Step 6: Final answer
   x = 2,593.69