Finding the Third Proportional to 105,227.50 and 223,600

Step by Step Solution

1. Step 1: Write the proportion equation
   105,227.50 : 223,600 = 223,600 : x
2. Step 2: Convert to fraction form
   105,227.50/223,600 = 223,600/x
3. Step 3: Cross multiply
   105,227.50x = 223,600 × 223,600
4. Step 4: Simplify right side
   105,227.50x = 49,996,960,000
5. Step 5: Solve for x
   x = 49,996,960,000/105,227.50
6. Step 6: Final answer
   x = 475,132.07