Finding the Third Proportional to 105,459 and 227,046

Step by Step Solution

1. Step 1: Write the proportion equation
   105,459 : 227,046 = 227,046 : x
2. Step 2: Convert to fraction form
   105,459/227,046 = 227,046/x
3. Step 3: Cross multiply
   105,459x = 227,046 × 227,046
4. Step 4: Simplify right side
   105,459x = 51,549,886,116
5. Step 5: Solve for x
   x = 51,549,886,116/105,459
6. Step 6: Final answer
   x = 488,814.48