Finding the Third Proportional to 354,686.50 and 778,295

Step by Step Solution

1. Step 1: Write the proportion equation
   354,686.50 : 778,295 = 778,295 : x
2. Step 2: Convert to fraction form
   354,686.50/778,295 = 778,295/x
3. Step 3: Cross multiply
   354,686.50x = 778,295 × 778,295
4. Step 4: Simplify right side
   354,686.50x = 605,743,107,025
5. Step 5: Solve for x
   x = 605,743,107,025/354,686.50
6. Step 6: Final answer
   x = 1,707,826.79