Finding the Third Proportional to 644,564 and 1,418,008

Step by Step Solution

1. Step 1: Write the proportion equation
   644,564 : 1,418,008 = 1,418,008 : x
2. Step 2: Convert to fraction form
   644,564/1,418,008 = 1,418,008/x
3. Step 3: Cross multiply
   644,564x = 1,418,008 × 1,418,008
4. Step 4: Simplify right side
   644,564x = 2,010,746,688,064
5. Step 5: Solve for x
   x = 2,010,746,688,064/644,564
6. Step 6: Final answer
   x = 3,119,545.44