Finding the Third Proportional to 95,906 and 205,924

Step by Step Solution

1. Step 1: Write the proportion equation
   95,906 : 205,924 = 205,924 : x
2. Step 2: Convert to fraction form
   95,906/205,924 = 205,924/x
3. Step 3: Cross multiply
   95,906x = 205,924 × 205,924
4. Step 4: Simplify right side
   95,906x = 42,404,693,776
5. Step 5: Solve for x
   x = 42,404,693,776/95,906
6. Step 6: Final answer
   x = 442,148.50