Finding the Third Proportional to 105,166 and 227,290

Step by Step Solution

1. Step 1: Write the proportion equation
   105,166 : 227,290 = 227,290 : x
2. Step 2: Convert to fraction form
   105,166/227,290 = 227,290/x
3. Step 3: Cross multiply
   105,166x = 227,290 × 227,290
4. Step 4: Simplify right side
   105,166x = 51,660,744,100
5. Step 5: Solve for x
   x = 51,660,744,100/105,166
6. Step 6: Final answer
   x = 491,230.47