Finding the Third Proportional to 123,906 and 271,524

Step by Step Solution

1. Step 1: Write the proportion equation
   123,906 : 271,524 = 271,524 : x
2. Step 2: Convert to fraction form
   123,906/271,524 = 271,524/x
3. Step 3: Cross multiply
   123,906x = 271,524 × 271,524
4. Step 4: Simplify right side
   123,906x = 73,725,282,576
5. Step 5: Solve for x
   x = 73,725,282,576/123,906
6. Step 6: Final answer
   x = 595,009.79