Finding the Third Proportional to 105,895.13 and 206,469.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,895.13 : 206,469.56 = 206,469.56 : x
2. Step 2: Convert to fraction form
   105,895.13/206,469.56 = 206,469.56/x
3. Step 3: Cross multiply
   105,895.13x = 206,469.56 × 206,469.56
4. Step 4: Simplify right side
   105,895.13x = 42,629,680,238.94
5. Step 5: Solve for x
   x = 42,629,680,238.94/105,895.13
6. Step 6: Final answer
   x = 402,565.09