Finding the Third Proportional to 106,227 and 226,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,227 : 226,667.25 = 226,667.25 : x
2. Step 2: Convert to fraction form
   106,227/226,667.25 = 226,667.25/x
3. Step 3: Cross multiply
   106,227x = 226,667.25 × 226,667.25
4. Step 4: Simplify right side
   106,227x = 51,378,042,222.56
5. Step 5: Solve for x
   x = 51,378,042,222.56/106,227
6. Step 6: Final answer
   x = 483,662.74