Finding the Third Proportional to 294,320 and 635,688

Step by Step Solution

1. Step 1: Write the proportion equation
   294,320 : 635,688 = 635,688 : x
2. Step 2: Convert to fraction form
   294,320/635,688 = 635,688/x
3. Step 3: Cross multiply
   294,320x = 635,688 × 635,688
4. Step 4: Simplify right side
   294,320x = 404,099,233,344
5. Step 5: Solve for x
   x = 404,099,233,344/294,320
6. Step 6: Final answer
   x = 1,372,992.77