Finding the Third Proportional to 65,984 and 146,689

Step by Step Solution

1. Step 1: Write the proportion equation
   65,984 : 146,689 = 146,689 : x
2. Step 2: Convert to fraction form
   65,984/146,689 = 146,689/x
3. Step 3: Cross multiply
   65,984x = 146,689 × 146,689
4. Step 4: Simplify right side
   65,984x = 21,517,662,721
5. Step 5: Solve for x
   x = 21,517,662,721/65,984
6. Step 6: Final answer
   x = 326,104.25