Finding the Third Proportional to 65,512 and 140,370

Step by Step Solution

1. Step 1: Write the proportion equation
   65,512 : 140,370 = 140,370 : x
2. Step 2: Convert to fraction form
   65,512/140,370 = 140,370/x
3. Step 3: Cross multiply
   65,512x = 140,370 × 140,370
4. Step 4: Simplify right side
   65,512x = 19,703,736,900
5. Step 5: Solve for x
   x = 19,703,736,900/65,512
6. Step 6: Final answer
   x = 300,765.31