Finding the Third Proportional to 1,077,596 and 1,569,009

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,596 : 1,569,009 = 1,569,009 : x
2. Step 2: Convert to fraction form
   1,077,596/1,569,009 = 1,569,009/x
3. Step 3: Cross multiply
   1,077,596x = 1,569,009 × 1,569,009
4. Step 4: Simplify right side
   1,077,596x = 2,461,789,242,081
5. Step 5: Solve for x
   x = 2,461,789,242,081/1,077,596
6. Step 6: Final answer
   x = 2,284,519.65