Finding the Third Proportional to 64,996 and 141,744

Step by Step Solution

1. Step 1: Write the proportion equation
   64,996 : 141,744 = 141,744 : x
2. Step 2: Convert to fraction form
   64,996/141,744 = 141,744/x
3. Step 3: Cross multiply
   64,996x = 141,744 × 141,744
4. Step 4: Simplify right side
   64,996x = 20,091,361,536
5. Step 5: Solve for x
   x = 20,091,361,536/64,996
6. Step 6: Final answer
   x = 309,116.89