Finding the Third Proportional to 65,734 and 141,644

Step by Step Solution

1. Step 1: Write the proportion equation
   65,734 : 141,644 = 141,644 : x
2. Step 2: Convert to fraction form
   65,734/141,644 = 141,644/x
3. Step 3: Cross multiply
   65,734x = 141,644 × 141,644
4. Step 4: Simplify right side
   65,734x = 20,063,022,736
5. Step 5: Solve for x
   x = 20,063,022,736/65,734
6. Step 6: Final answer
   x = 305,215.30