Finding the Third Proportional to 65,494 and 140,330

Step by Step Solution

1. Step 1: Write the proportion equation
   65,494 : 140,330 = 140,330 : x
2. Step 2: Convert to fraction form
   65,494/140,330 = 140,330/x
3. Step 3: Cross multiply
   65,494x = 140,330 × 140,330
4. Step 4: Simplify right side
   65,494x = 19,692,508,900
5. Step 5: Solve for x
   x = 19,692,508,900/65,494
6. Step 6: Final answer
   x = 300,676.53