Finding the Third Proportional to 123,728 and 271,106

Step by Step Solution

1. Step 1: Write the proportion equation
   123,728 : 271,106 = 271,106 : x
2. Step 2: Convert to fraction form
   123,728/271,106 = 271,106/x
3. Step 3: Cross multiply
   123,728x = 271,106 × 271,106
4. Step 4: Simplify right side
   123,728x = 73,498,463,236
5. Step 5: Solve for x
   x = 73,498,463,236/123,728
6. Step 6: Final answer
   x = 594,032.58