Finding the Third Proportional to 123,866 and 271,356

Step by Step Solution

1. Step 1: Write the proportion equation
   123,866 : 271,356 = 271,356 : x
2. Step 2: Convert to fraction form
   123,866/271,356 = 271,356/x
3. Step 3: Cross multiply
   123,866x = 271,356 × 271,356
4. Step 4: Simplify right side
   123,866x = 73,634,078,736
5. Step 5: Solve for x
   x = 73,634,078,736/123,866
6. Step 6: Final answer
   x = 594,465.62