Finding the Third Proportional to 1,271,658 and 1,782,225

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271,658 : 1,782,225 = 1,782,225 : x
2. Step 2: Convert to fraction form
   1,271,658/1,782,225 = 1,782,225/x
3. Step 3: Cross multiply
   1,271,658x = 1,782,225 × 1,782,225
4. Step 4: Simplify right side
   1,271,658x = 3,176,325,950,625
5. Step 5: Solve for x
   x = 3,176,325,950,625/1,271,658
6. Step 6: Final answer
   x = 2,497,783.17