Finding the Third Proportional to 514,826 and 778,890

Step by Step Solution

1. Step 1: Write the proportion equation
   514,826 : 778,890 = 778,890 : x
2. Step 2: Convert to fraction form
   514,826/778,890 = 778,890/x
3. Step 3: Cross multiply
   514,826x = 778,890 × 778,890
4. Step 4: Simplify right side
   514,826x = 606,669,632,100
5. Step 5: Solve for x
   x = 606,669,632,100/514,826
6. Step 6: Final answer
   x = 1,178,397.42