Finding the Third Proportional to 681,196 and 1,605,767

Step by Step Solution

1. Step 1: Write the proportion equation
   681,196 : 1,605,767 = 1,605,767 : x
2. Step 2: Convert to fraction form
   681,196/1,605,767 = 1,605,767/x
3. Step 3: Cross multiply
   681,196x = 1,605,767 × 1,605,767
4. Step 4: Simplify right side
   681,196x = 2,578,487,658,289
5. Step 5: Solve for x
   x = 2,578,487,658,289/681,196
6. Step 6: Final answer
   x = 3,785,236.05