Finding the Third Proportional to 644,523 and 1,417,749

Step by Step Solution

1. Step 1: Write the proportion equation
   644,523 : 1,417,749 = 1,417,749 : x
2. Step 2: Convert to fraction form
   644,523/1,417,749 = 1,417,749/x
3. Step 3: Cross multiply
   644,523x = 1,417,749 × 1,417,749
4. Step 4: Simplify right side
   644,523x = 2,010,012,227,001
5. Step 5: Solve for x
   x = 2,010,012,227,001/644,523
6. Step 6: Final answer
   x = 3,118,604.34