Finding the Third Proportional to 105,185 and 229,378

Step by Step Solution

1. Step 1: Write the proportion equation
   105,185 : 229,378 = 229,378 : x
2. Step 2: Convert to fraction form
   105,185/229,378 = 229,378/x
3. Step 3: Cross multiply
   105,185x = 229,378 × 229,378
4. Step 4: Simplify right side
   105,185x = 52,614,266,884
5. Step 5: Solve for x
   x = 52,614,266,884/105,185
6. Step 6: Final answer
   x = 500,206.94