Finding the Third Proportional to 498,123 and 778,288

Step by Step Solution

1. Step 1: Write the proportion equation
   498,123 : 778,288 = 778,288 : x
2. Step 2: Convert to fraction form
   498,123/778,288 = 778,288/x
3. Step 3: Cross multiply
   498,123x = 778,288 × 778,288
4. Step 4: Simplify right side
   498,123x = 605,732,210,944
5. Step 5: Solve for x
   x = 605,732,210,944/498,123
6. Step 6: Final answer
   x = 1,216,029.40