Finding the Third Proportional to 729,728 and 1,596,901

Step by Step Solution

1. Step 1: Write the proportion equation
   729,728 : 1,596,901 = 1,596,901 : x
2. Step 2: Convert to fraction form
   729,728/1,596,901 = 1,596,901/x
3. Step 3: Cross multiply
   729,728x = 1,596,901 × 1,596,901
4. Step 4: Simplify right side
   729,728x = 2,550,092,803,801
5. Step 5: Solve for x
   x = 2,550,092,803,801/729,728
6. Step 6: Final answer
   x = 3,494,579.90