Finding the Third Proportional to 65,944 and 146,648

Step by Step Solution

1. Step 1: Write the proportion equation
   65,944 : 146,648 = 146,648 : x
2. Step 2: Convert to fraction form
   65,944/146,648 = 146,648/x
3. Step 3: Cross multiply
   65,944x = 146,648 × 146,648
4. Step 4: Simplify right side
   65,944x = 21,505,635,904
5. Step 5: Solve for x
   x = 21,505,635,904/65,944
6. Step 6: Final answer
   x = 326,119.68