Finding the Third Proportional to 123,849 and 271,431

Step by Step Solution

1. Step 1: Write the proportion equation
   123,849 : 271,431 = 271,431 : x
2. Step 2: Convert to fraction form
   123,849/271,431 = 271,431/x
3. Step 3: Cross multiply
   123,849x = 271,431 × 271,431
4. Step 4: Simplify right side
   123,849x = 73,674,787,761
5. Step 5: Solve for x
   x = 73,674,787,761/123,849
6. Step 6: Final answer
   x = 594,875.92