Finding the Third Proportional to 65,518 and 140,384

Step by Step Solution

1. Step 1: Write the proportion equation
   65,518 : 140,384 = 140,384 : x
2. Step 2: Convert to fraction form
   65,518/140,384 = 140,384/x
3. Step 3: Cross multiply
   65,518x = 140,384 × 140,384
4. Step 4: Simplify right side
   65,518x = 19,707,667,456
5. Step 5: Solve for x
   x = 19,707,667,456/65,518
6. Step 6: Final answer
   x = 300,797.76