Finding the Third Proportional to 778,578 and 1,689,348

Step by Step Solution

1. Step 1: Write the proportion equation
   778,578 : 1,689,348 = 1,689,348 : x
2. Step 2: Convert to fraction form
   778,578/1,689,348 = 1,689,348/x
3. Step 3: Cross multiply
   778,578x = 1,689,348 × 1,689,348
4. Step 4: Simplify right side
   778,578x = 2,853,896,665,104
5. Step 5: Solve for x
   x = 2,853,896,665,104/778,578
6. Step 6: Final answer
   x = 3,665,524.41