Finding the Third Proportional to 420,842.50 and 635,638

Step by Step Solution

1. Step 1: Write the proportion equation
   420,842.50 : 635,638 = 635,638 : x
2. Step 2: Convert to fraction form
   420,842.50/635,638 = 635,638/x
3. Step 3: Cross multiply
   420,842.50x = 635,638 × 635,638
4. Step 4: Simplify right side
   420,842.50x = 404,035,667,044
5. Step 5: Solve for x
   x = 404,035,667,044/420,842.50
6. Step 6: Final answer
   x = 960,063.84