Finding the Third Proportional to 687,646 and 1,032,768

Step by Step Solution

1. Step 1: Write the proportion equation
   687,646 : 1,032,768 = 1,032,768 : x
2. Step 2: Convert to fraction form
   687,646/1,032,768 = 1,032,768/x
3. Step 3: Cross multiply
   687,646x = 1,032,768 × 1,032,768
4. Step 4: Simplify right side
   687,646x = 1,066,609,741,824
5. Step 5: Solve for x
   x = 1,066,609,741,824/687,646
6. Step 6: Final answer
   x = 1,551,102.95