Finding the Third Proportional to 295,744 and 635,768

Step by Step Solution

1. Step 1: Write the proportion equation
   295,744 : 635,768 = 635,768 : x
2. Step 2: Convert to fraction form
   295,744/635,768 = 635,768/x
3. Step 3: Cross multiply
   295,744x = 635,768 × 635,768
4. Step 4: Simplify right side
   295,744x = 404,200,949,824
5. Step 5: Solve for x
   x = 404,200,949,824/295,744
6. Step 6: Final answer
   x = 1,366,725.78