Finding the Third Proportional to 105,727 and 227,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,727 : 227,958.50 = 227,958.50 : x
2. Step 2: Convert to fraction form
   105,727/227,958.50 = 227,958.50/x
3. Step 3: Cross multiply
   105,727x = 227,958.50 × 227,958.50
4. Step 4: Simplify right side
   105,727x = 51,965,077,722.25
5. Step 5: Solve for x
   x = 51,965,077,722.25/105,727
6. Step 6: Final answer
   x = 491,502.43