Finding the Third Proportional to 498,124 and 778,290

Step by Step Solution

1. Step 1: Write the proportion equation
   498,124 : 778,290 = 778,290 : x
2. Step 2: Convert to fraction form
   498,124/778,290 = 778,290/x
3. Step 3: Cross multiply
   498,124x = 778,290 × 778,290
4. Step 4: Simplify right side
   498,124x = 605,735,324,100
5. Step 5: Solve for x
   x = 605,735,324,100/498,124
6. Step 6: Final answer
   x = 1,216,033.20