Finding the Third Proportional to 123,831 and 191,327

Step by Step Solution

1. Step 1: Write the proportion equation
   123,831 : 191,327 = 191,327 : x
2. Step 2: Convert to fraction form
   123,831/191,327 = 191,327/x
3. Step 3: Cross multiply
   123,831x = 191,327 × 191,327
4. Step 4: Simplify right side
   123,831x = 36,606,020,929
5. Step 5: Solve for x
   x = 36,606,020,929/123,831
6. Step 6: Final answer
   x = 295,612.74