Finding the Third Proportional to 123,839 and 271,410

Step by Step Solution

1. Step 1: Write the proportion equation
   123,839 : 271,410 = 271,410 : x
2. Step 2: Convert to fraction form
   123,839/271,410 = 271,410/x
3. Step 3: Cross multiply
   123,839x = 271,410 × 271,410
4. Step 4: Simplify right side
   123,839x = 73,663,388,100
5. Step 5: Solve for x
   x = 73,663,388,100/123,839
6. Step 6: Final answer
   x = 594,831.90