Finding the Third Proportional to 323,676 and 706,401

Step by Step Solution

1. Step 1: Write the proportion equation
   323,676 : 706,401 = 706,401 : x
2. Step 2: Convert to fraction form
   323,676/706,401 = 706,401/x
3. Step 3: Cross multiply
   323,676x = 706,401 × 706,401
4. Step 4: Simplify right side
   323,676x = 499,002,372,801
5. Step 5: Solve for x
   x = 499,002,372,801/323,676
6. Step 6: Final answer
   x = 1,541,672.45