Finding the Third Proportional to 1,271,603 and 1,782,412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271,603 : 1,782,412 = 1,782,412 : x
2. Step 2: Convert to fraction form
   1,271,603/1,782,412 = 1,782,412/x
3. Step 3: Cross multiply
   1,271,603x = 1,782,412 × 1,782,412
4. Step 4: Simplify right side
   1,271,603x = 3,176,992,537,744
5. Step 5: Solve for x
   x = 3,176,992,537,744/1,271,603
6. Step 6: Final answer
   x = 2,498,415.42