Finding the Third Proportional to 105,178 and 229,630

Step by Step Solution

1. Step 1: Write the proportion equation
   105,178 : 229,630 = 229,630 : x
2. Step 2: Convert to fraction form
   105,178/229,630 = 229,630/x
3. Step 3: Cross multiply
   105,178x = 229,630 × 229,630
4. Step 4: Simplify right side
   105,178x = 52,729,936,900
5. Step 5: Solve for x
   x = 52,729,936,900/105,178
6. Step 6: Final answer
   x = 501,339.98