Finding the Third Proportional to 1,002,016 and 1,765,984

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002,016 : 1,765,984 = 1,765,984 : x
2. Step 2: Convert to fraction form
   1,002,016/1,765,984 = 1,765,984/x
3. Step 3: Cross multiply
   1,002,016x = 1,765,984 × 1,765,984
4. Step 4: Simplify right side
   1,002,016x = 3,118,699,488,256
5. Step 5: Solve for x
   x = 3,118,699,488,256/1,002,016
6. Step 6: Final answer
   x = 3,112,424.84