Finding the Third Proportional to 221,856 and 335,616

Step by Step Solution

1. Step 1: Write the proportion equation
   221,856 : 335,616 = 335,616 : x
2. Step 2: Convert to fraction form
   221,856/335,616 = 335,616/x
3. Step 3: Cross multiply
   221,856x = 335,616 × 335,616
4. Step 4: Simplify right side
   221,856x = 112,638,099,456
5. Step 5: Solve for x
   x = 112,638,099,456/221,856
6. Step 6: Final answer
   x = 507,708.15