Finding the Third Proportional to 1,257,642 and 1,777,823

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257,642 : 1,777,823 = 1,777,823 : x
2. Step 2: Convert to fraction form
   1,257,642/1,777,823 = 1,777,823/x
3. Step 3: Cross multiply
   1,257,642x = 1,777,823 × 1,777,823
4. Step 4: Simplify right side
   1,257,642x = 3,160,654,619,329
5. Step 5: Solve for x
   x = 3,160,654,619,329/1,257,642
6. Step 6: Final answer
   x = 2,513,159.25