Finding the Third Proportional to 123,561 and 271,180

Step by Step Solution

1. Step 1: Write the proportion equation
   123,561 : 271,180 = 271,180 : x
2. Step 2: Convert to fraction form
   123,561/271,180 = 271,180/x
3. Step 3: Cross multiply
   123,561x = 271,180 × 271,180
4. Step 4: Simplify right side
   123,561x = 73,538,592,400
5. Step 5: Solve for x
   x = 73,538,592,400/123,561
6. Step 6: Final answer
   x = 595,160.22