Finding the Third Proportional to 109,647.75 and 227,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,647.75 : 227,914.50 = 227,914.50 : x
2. Step 2: Convert to fraction form
   109,647.75/227,914.50 = 227,914.50/x
3. Step 3: Cross multiply
   109,647.75x = 227,914.50 × 227,914.50
4. Step 4: Simplify right side
   109,647.75x = 51,945,019,310.25
5. Step 5: Solve for x
   x = 51,945,019,310.25/109,647.75
6. Step 6: Final answer
   x = 473,744.51