Finding the Third Proportional to 65,676 and 146,661

Step by Step Solution

1. Step 1: Write the proportion equation
   65,676 : 146,661 = 146,661 : x
2. Step 2: Convert to fraction form
   65,676/146,661 = 146,661/x
3. Step 3: Cross multiply
   65,676x = 146,661 × 146,661
4. Step 4: Simplify right side
   65,676x = 21,509,448,921
5. Step 5: Solve for x
   x = 21,509,448,921/65,676
6. Step 6: Final answer
   x = 327,508.51