Finding the Third Proportional to 1,729,256 and 2,762,526

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729,256 : 2,762,526 = 2,762,526 : x
2. Step 2: Convert to fraction form
   1,729,256/2,762,526 = 2,762,526/x
3. Step 3: Cross multiply
   1,729,256x = 2,762,526 × 2,762,526
4. Step 4: Simplify right side
   1,729,256x = 7,631,549,900,676
5. Step 5: Solve for x
   x = 7,631,549,900,676/1,729,256
6. Step 6: Final answer
   x = 4,413,198.45