Finding the Third Proportional to 1,638,178 and 2,564,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,178 : 2,564,216 = 2,564,216 : x
2. Step 2: Convert to fraction form
   1,638,178/2,564,216 = 2,564,216/x
3. Step 3: Cross multiply
   1,638,178x = 2,564,216 × 2,564,216
4. Step 4: Simplify right side
   1,638,178x = 6,575,203,694,656
5. Step 5: Solve for x
   x = 6,575,203,694,656/1,638,178
6. Step 6: Final answer
   x = 4,013,729.70