Finding the Third Proportional to 726,830 and 1,083,142

Step by Step Solution

1. Step 1: Write the proportion equation
   726,830 : 1,083,142 = 1,083,142 : x
2. Step 2: Convert to fraction form
   726,830/1,083,142 = 1,083,142/x
3. Step 3: Cross multiply
   726,830x = 1,083,142 × 1,083,142
4. Step 4: Simplify right side
   726,830x = 1,173,196,592,164
5. Step 5: Solve for x
   x = 1,173,196,592,164/726,830
6. Step 6: Final answer
   x = 1,614,127.91