Finding the Third Proportional to 1,026,729 and 1,596,097

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026,729 : 1,596,097 = 1,596,097 : x
2. Step 2: Convert to fraction form
   1,026,729/1,596,097 = 1,596,097/x
3. Step 3: Cross multiply
   1,026,729x = 1,596,097 × 1,596,097
4. Step 4: Simplify right side
   1,026,729x = 2,547,525,633,409
5. Step 5: Solve for x
   x = 2,547,525,633,409/1,026,729
6. Step 6: Final answer
   x = 2,481,205.49