Finding the Third Proportional to 814,108 and 1,196,786

Step by Step Solution

1. Step 1: Write the proportion equation
   814,108 : 1,196,786 = 1,196,786 : x
2. Step 2: Convert to fraction form
   814,108/1,196,786 = 1,196,786/x
3. Step 3: Cross multiply
   814,108x = 1,196,786 × 1,196,786
4. Step 4: Simplify right side
   814,108x = 1,432,296,729,796
5. Step 5: Solve for x
   x = 1,432,296,729,796/814,108
6. Step 6: Final answer
   x = 1,759,344.87