Finding the Third Proportional to 65,535 and 140,628

Step by Step Solution

1. Step 1: Write the proportion equation
   65,535 : 140,628 = 140,628 : x
2. Step 2: Convert to fraction form
   65,535/140,628 = 140,628/x
3. Step 3: Cross multiply
   65,535x = 140,628 × 140,628
4. Step 4: Simplify right side
   65,535x = 19,776,234,384
5. Step 5: Solve for x
   x = 19,776,234,384/65,535
6. Step 6: Final answer
   x = 301,765.99