Finding the Third Proportional to 105,894 and 227,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,894 : 227,137.50 = 227,137.50 : x
2. Step 2: Convert to fraction form
   105,894/227,137.50 = 227,137.50/x
3. Step 3: Cross multiply
   105,894x = 227,137.50 × 227,137.50
4. Step 4: Simplify right side
   105,894x = 51,591,443,906.25
5. Step 5: Solve for x
   x = 51,591,443,906.25/105,894
6. Step 6: Final answer
   x = 487,198.93