Finding the Third Proportional to 105,904 and 206,486

Step by Step Solution

1. Step 1: Write the proportion equation
   105,904 : 206,486 = 206,486 : x
2. Step 2: Convert to fraction form
   105,904/206,486 = 206,486/x
3. Step 3: Cross multiply
   105,904x = 206,486 × 206,486
4. Step 4: Simplify right side
   105,904x = 42,636,468,196
5. Step 5: Solve for x
   x = 42,636,468,196/105,904
6. Step 6: Final answer
   x = 402,595.45