Finding the Third Proportional to 294,196 and 635,040

Step by Step Solution

1. Step 1: Write the proportion equation
   294,196 : 635,040 = 635,040 : x
2. Step 2: Convert to fraction form
   294,196/635,040 = 635,040/x
3. Step 3: Cross multiply
   294,196x = 635,040 × 635,040
4. Step 4: Simplify right side
   294,196x = 403,275,801,600
5. Step 5: Solve for x
   x = 403,275,801,600/294,196
6. Step 6: Final answer
   x = 1,370,772.55