Finding the Third Proportional to 496,884 and 774,846

Step by Step Solution

1. Step 1: Write the proportion equation
   496,884 : 774,846 = 774,846 : x
2. Step 2: Convert to fraction form
   496,884/774,846 = 774,846/x
3. Step 3: Cross multiply
   496,884x = 774,846 × 774,846
4. Step 4: Simplify right side
   496,884x = 600,386,323,716
5. Step 5: Solve for x
   x = 600,386,323,716/496,884
6. Step 6: Final answer
   x = 1,208,302.79