Finding the Third Proportional to 65,424 and 143,504

Step by Step Solution

1. Step 1: Write the proportion equation
   65,424 : 143,504 = 143,504 : x
2. Step 2: Convert to fraction form
   65,424/143,504 = 143,504/x
3. Step 3: Cross multiply
   65,424x = 143,504 × 143,504
4. Step 4: Simplify right side
   65,424x = 20,593,398,016
5. Step 5: Solve for x
   x = 20,593,398,016/65,424
6. Step 6: Final answer
   x = 314,768.25