Finding the Third Proportional to 65,986 and 146,693

Step by Step Solution

1. Step 1: Write the proportion equation
   65,986 : 146,693 = 146,693 : x
2. Step 2: Convert to fraction form
   65,986/146,693 = 146,693/x
3. Step 3: Cross multiply
   65,986x = 146,693 × 146,693
4. Step 4: Simplify right side
   65,986x = 21,518,836,249
5. Step 5: Solve for x
   x = 21,518,836,249/65,986
6. Step 6: Final answer
   x = 326,112.15