Finding the Third Proportional to 294,435 and 635,499

Step by Step Solution

1. Step 1: Write the proportion equation
   294,435 : 635,499 = 635,499 : x
2. Step 2: Convert to fraction form
   294,435/635,499 = 635,499/x
3. Step 3: Cross multiply
   294,435x = 635,499 × 635,499
4. Step 4: Simplify right side
   294,435x = 403,858,979,001
5. Step 5: Solve for x
   x = 403,858,979,001/294,435
6. Step 6: Final answer
   x = 1,371,640.53