Finding the Third Proportional to 766,900 and 1,644,824

Step by Step Solution

1. Step 1: Write the proportion equation
   766,900 : 1,644,824 = 1,644,824 : x
2. Step 2: Convert to fraction form
   766,900/1,644,824 = 1,644,824/x
3. Step 3: Cross multiply
   766,900x = 1,644,824 × 1,644,824
4. Step 4: Simplify right side
   766,900x = 2,705,445,990,976
5. Step 5: Solve for x
   x = 2,705,445,990,976/766,900
6. Step 6: Final answer
   x = 3,527,768.93