Finding the Third Proportional to 105,308 and 227,223

Step by Step Solution

1. Step 1: Write the proportion equation
   105,308 : 227,223 = 227,223 : x
2. Step 2: Convert to fraction form
   105,308/227,223 = 227,223/x
3. Step 3: Cross multiply
   105,308x = 227,223 × 227,223
4. Step 4: Simplify right side
   105,308x = 51,630,291,729
5. Step 5: Solve for x
   x = 51,630,291,729/105,308
6. Step 6: Final answer
   x = 490,278.91