Finding the Third Proportional to 65,504 and 140,216

Step by Step Solution

1. Step 1: Write the proportion equation
   65,504 : 140,216 = 140,216 : x
2. Step 2: Convert to fraction form
   65,504/140,216 = 140,216/x
3. Step 3: Cross multiply
   65,504x = 140,216 × 140,216
4. Step 4: Simplify right side
   65,504x = 19,660,526,656
5. Step 5: Solve for x
   x = 19,660,526,656/65,504
6. Step 6: Final answer
   x = 300,142.38