Finding the Third Proportional to 1,375,256 and 2,102,421

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375,256 : 2,102,421 = 2,102,421 : x
2. Step 2: Convert to fraction form
   1,375,256/2,102,421 = 2,102,421/x
3. Step 3: Cross multiply
   1,375,256x = 2,102,421 × 2,102,421
4. Step 4: Simplify right side
   1,375,256x = 4,420,174,061,241
5. Step 5: Solve for x
   x = 4,420,174,061,241/1,375,256
6. Step 6: Final answer
   x = 3,214,073.64