Finding the Third Proportional to 123,596 and 271,256

Step by Step Solution

1. Step 1: Write the proportion equation
   123,596 : 271,256 = 271,256 : x
2. Step 2: Convert to fraction form
   123,596/271,256 = 271,256/x
3. Step 3: Cross multiply
   123,596x = 271,256 × 271,256
4. Step 4: Simplify right side
   123,596x = 73,579,817,536
5. Step 5: Solve for x
   x = 73,579,817,536/123,596
6. Step 6: Final answer
   x = 595,325.23