Finding the Third Proportional to 814,036 and 1,196,663

Step by Step Solution

1. Step 1: Write the proportion equation
   814,036 : 1,196,663 = 1,196,663 : x
2. Step 2: Convert to fraction form
   814,036/1,196,663 = 1,196,663/x
3. Step 3: Cross multiply
   814,036x = 1,196,663 × 1,196,663
4. Step 4: Simplify right side
   814,036x = 1,432,002,335,569
5. Step 5: Solve for x
   x = 1,432,002,335,569/814,036
6. Step 6: Final answer
   x = 1,759,138.83