Finding the Third Proportional to 105,314 and 227,488

Step by Step Solution

1. Step 1: Write the proportion equation
   105,314 : 227,488 = 227,488 : x
2. Step 2: Convert to fraction form
   105,314/227,488 = 227,488/x
3. Step 3: Cross multiply
   105,314x = 227,488 × 227,488
4. Step 4: Simplify right side
   105,314x = 51,750,790,144
5. Step 5: Solve for x
   x = 51,750,790,144/105,314
6. Step 6: Final answer
   x = 491,395.16