Finding the Third Proportional to 434,944 and 635,632

Step by Step Solution

1. Step 1: Write the proportion equation
   434,944 : 635,632 = 635,632 : x
2. Step 2: Convert to fraction form
   434,944/635,632 = 635,632/x
3. Step 3: Cross multiply
   434,944x = 635,632 × 635,632
4. Step 4: Simplify right side
   434,944x = 404,028,039,424
5. Step 5: Solve for x
   x = 404,028,039,424/434,944
6. Step 6: Final answer
   x = 928,919.68