Finding the Third Proportional to 123,838 and 271,408

Step by Step Solution

1. Step 1: Write the proportion equation
   123,838 : 271,408 = 271,408 : x
2. Step 2: Convert to fraction form
   123,838/271,408 = 271,408/x
3. Step 3: Cross multiply
   123,838x = 271,408 × 271,408
4. Step 4: Simplify right side
   123,838x = 73,662,302,464
5. Step 5: Solve for x
   x = 73,662,302,464/123,838
6. Step 6: Final answer
   x = 594,827.94