Finding the Third Proportional to 1,638,216 and 2,564,280

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,216 : 2,564,280 = 2,564,280 : x
2. Step 2: Convert to fraction form
   1,638,216/2,564,280 = 2,564,280/x
3. Step 3: Cross multiply
   1,638,216x = 2,564,280 × 2,564,280
4. Step 4: Simplify right side
   1,638,216x = 6,575,531,918,400
5. Step 5: Solve for x
   x = 6,575,531,918,400/1,638,216
6. Step 6: Final answer
   x = 4,013,836.95