Finding the Third Proportional to 123,570 and 271,198

Step by Step Solution

1. Step 1: Write the proportion equation
   123,570 : 271,198 = 271,198 : x
2. Step 2: Convert to fraction form
   123,570/271,198 = 271,198/x
3. Step 3: Cross multiply
   123,570x = 271,198 × 271,198
4. Step 4: Simplify right side
   123,570x = 73,548,355,204
5. Step 5: Solve for x
   x = 73,548,355,204/123,570
6. Step 6: Final answer
   x = 595,195.88