Finding the Third Proportional to 580.50 and 774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   580.50 : 774.56 = 774.56 : x
2. Step 2: Convert to fraction form
   580.50/774.56 = 774.56/x
3. Step 3: Cross multiply
   580.50x = 774.56 × 774.56
4. Step 4: Simplify right side
   580.50x = 599,947.07
5. Step 5: Solve for x
   x = 599,947.07/580.50
6. Step 6: Final answer
   x = 1,033.50