Finding the Third Proportional to 123,841 and 271,414

Step by Step Solution

1. Step 1: Write the proportion equation
   123,841 : 271,414 = 271,414 : x
2. Step 2: Convert to fraction form
   123,841/271,414 = 271,414/x
3. Step 3: Cross multiply
   123,841x = 271,414 × 271,414
4. Step 4: Simplify right side
   123,841x = 73,665,559,396
5. Step 5: Solve for x
   x = 73,665,559,396/123,841
6. Step 6: Final answer
   x = 594,839.83