Finding the Third Proportional to 1,638,206 and 2,564,260

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,206 : 2,564,260 = 2,564,260 : x
2. Step 2: Convert to fraction form
   1,638,206/2,564,260 = 2,564,260/x
3. Step 3: Cross multiply
   1,638,206x = 2,564,260 × 2,564,260
4. Step 4: Simplify right side
   1,638,206x = 6,575,429,347,600
5. Step 5: Solve for x
   x = 6,575,429,347,600/1,638,206
6. Step 6: Final answer
   x = 4,013,798.84