Finding the Third Proportional to 140,736 and 299,772

Step by Step Solution

1. Step 1: Write the proportion equation
   140,736 : 299,772 = 299,772 : x
2. Step 2: Convert to fraction form
   140,736/299,772 = 299,772/x
3. Step 3: Cross multiply
   140,736x = 299,772 × 299,772
4. Step 4: Simplify right side
   140,736x = 89,863,251,984
5. Step 5: Solve for x
   x = 89,863,251,984/140,736
6. Step 6: Final answer
   x = 638,523.56