Finding the Third Proportional to 677,984 and 1,446,016

Step by Step Solution

1. Step 1: Write the proportion equation
   677,984 : 1,446,016 = 1,446,016 : x
2. Step 2: Convert to fraction form
   677,984/1,446,016 = 1,446,016/x
3. Step 3: Cross multiply
   677,984x = 1,446,016 × 1,446,016
4. Step 4: Simplify right side
   677,984x = 2,090,962,272,256
5. Step 5: Solve for x
   x = 2,090,962,272,256/677,984
6. Step 6: Final answer
   x = 3,084,087.93