Finding the Third Proportional to 769,344 and 1,674,144

Step by Step Solution

1. Step 1: Write the proportion equation
   769,344 : 1,674,144 = 1,674,144 : x
2. Step 2: Convert to fraction form
   769,344/1,674,144 = 1,674,144/x
3. Step 3: Cross multiply
   769,344x = 1,674,144 × 1,674,144
4. Step 4: Simplify right side
   769,344x = 2,802,758,132,736
5. Step 5: Solve for x
   x = 2,802,758,132,736/769,344
6. Step 6: Final answer
   x = 3,643,049.32