Finding the Third Proportional to 726,838 and 1,083,154

Step by Step Solution

1. Step 1: Write the proportion equation
   726,838 : 1,083,154 = 1,083,154 : x
2. Step 2: Convert to fraction form
   726,838/1,083,154 = 1,083,154/x
3. Step 3: Cross multiply
   726,838x = 1,083,154 × 1,083,154
4. Step 4: Simplify right side
   726,838x = 1,173,222,587,716
5. Step 5: Solve for x
   x = 1,173,222,587,716/726,838
6. Step 6: Final answer
   x = 1,614,145.91