Finding the Third Proportional to 1,638,258 and 2,564,401

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,258 : 2,564,401 = 2,564,401 : x
2. Step 2: Convert to fraction form
   1,638,258/2,564,401 = 2,564,401/x
3. Step 3: Cross multiply
   1,638,258x = 2,564,401 × 2,564,401
4. Step 4: Simplify right side
   1,638,258x = 6,576,152,488,801
5. Step 5: Solve for x
   x = 6,576,152,488,801/1,638,258
6. Step 6: Final answer
   x = 4,014,112.85