Finding the Third Proportional to 105,206 and 229,690

Step by Step Solution

1. Step 1: Write the proportion equation
   105,206 : 229,690 = 229,690 : x
2. Step 2: Convert to fraction form
   105,206/229,690 = 229,690/x
3. Step 3: Cross multiply
   105,206x = 229,690 × 229,690
4. Step 4: Simplify right side
   105,206x = 52,757,496,100
5. Step 5: Solve for x
   x = 52,757,496,100/105,206
6. Step 6: Final answer
   x = 501,468.51