Finding the Third Proportional to 123,618 and 271,293

Step by Step Solution

1. Step 1: Write the proportion equation
   123,618 : 271,293 = 271,293 : x
2. Step 2: Convert to fraction form
   123,618/271,293 = 271,293/x
3. Step 3: Cross multiply
   123,618x = 271,293 × 271,293
4. Step 4: Simplify right side
   123,618x = 73,599,891,849
5. Step 5: Solve for x
   x = 73,599,891,849/123,618
6. Step 6: Final answer
   x = 595,381.67