Finding the Third Proportional to 1,277,424 and 1,776,144

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277,424 : 1,776,144 = 1,776,144 : x
2. Step 2: Convert to fraction form
   1,277,424/1,776,144 = 1,776,144/x
3. Step 3: Cross multiply
   1,277,424x = 1,776,144 × 1,776,144
4. Step 4: Simplify right side
   1,277,424x = 3,154,687,508,736
5. Step 5: Solve for x
   x = 3,154,687,508,736/1,277,424
6. Step 6: Final answer
   x = 2,469,569.63