Finding the Third Proportional to 123,837 and 271,406

Step by Step Solution

1. Step 1: Write the proportion equation
   123,837 : 271,406 = 271,406 : x
2. Step 2: Convert to fraction form
   123,837/271,406 = 271,406/x
3. Step 3: Cross multiply
   123,837x = 271,406 × 271,406
4. Step 4: Simplify right side
   123,837x = 73,661,216,836
5. Step 5: Solve for x
   x = 73,661,216,836/123,837
6. Step 6: Final answer
   x = 594,823.98