Finding the Third Proportional to 105,176 and 227,308

Step by Step Solution

1. Step 1: Write the proportion equation
   105,176 : 227,308 = 227,308 : x
2. Step 2: Convert to fraction form
   105,176/227,308 = 227,308/x
3. Step 3: Cross multiply
   105,176x = 227,308 × 227,308
4. Step 4: Simplify right side
   105,176x = 51,668,926,864
5. Step 5: Solve for x
   x = 51,668,926,864/105,176
6. Step 6: Final answer
   x = 491,261.57