Finding the Third Proportional to 65,966 and 146,698

Step by Step Solution

1. Step 1: Write the proportion equation
   65,966 : 146,698 = 146,698 : x
2. Step 2: Convert to fraction form
   65,966/146,698 = 146,698/x
3. Step 3: Cross multiply
   65,966x = 146,698 × 146,698
4. Step 4: Simplify right side
   65,966x = 21,520,303,204
5. Step 5: Solve for x
   x = 21,520,303,204/65,966
6. Step 6: Final answer
   x = 326,233.26