Finding the Third Proportional to 295,684 and 635,648

Step by Step Solution

1. Step 1: Write the proportion equation
   295,684 : 635,648 = 635,648 : x
2. Step 2: Convert to fraction form
   295,684/635,648 = 635,648/x
3. Step 3: Cross multiply
   295,684x = 635,648 × 635,648
4. Step 4: Simplify right side
   295,684x = 404,048,379,904
5. Step 5: Solve for x
   x = 404,048,379,904/295,684
6. Step 6: Final answer
   x = 1,366,487.13