Finding the Third Proportional to 105,200 and 229,678

Step by Step Solution

1. Step 1: Write the proportion equation
   105,200 : 229,678 = 229,678 : x
2. Step 2: Convert to fraction form
   105,200/229,678 = 229,678/x
3. Step 3: Cross multiply
   105,200x = 229,678 × 229,678
4. Step 4: Simplify right side
   105,200x = 52,751,983,684
5. Step 5: Solve for x
   x = 52,751,983,684/105,200
6. Step 6: Final answer
   x = 501,444.71