Finding the Third Proportional to 580,414.50 and 774,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   580,414.50 : 774,103.50 = 774,103.50 : x
2. Step 2: Convert to fraction form
   580,414.50/774,103.50 = 774,103.50/x
3. Step 3: Cross multiply
   580,414.50x = 774,103.50 × 774,103.50
4. Step 4: Simplify right side
   580,414.50x = 599,236,228,712.25
5. Step 5: Solve for x
   x = 599,236,228,712.25/580,414.50
6. Step 6: Final answer
   x = 1,032,428.08