Finding the Third Proportional to 681,200 and 1,605,774

Step by Step Solution

1. Step 1: Write the proportion equation
   681,200 : 1,605,774 = 1,605,774 : x
2. Step 2: Convert to fraction form
   681,200/1,605,774 = 1,605,774/x
3. Step 3: Cross multiply
   681,200x = 1,605,774 × 1,605,774
4. Step 4: Simplify right side
   681,200x = 2,578,510,139,076
5. Step 5: Solve for x
   x = 2,578,510,139,076/681,200
6. Step 6: Final answer
   x = 3,785,246.83