Finding the Third Proportional to 123,597 and 271,257

Step by Step Solution

1. Step 1: Write the proportion equation
   123,597 : 271,257 = 271,257 : x
2. Step 2: Convert to fraction form
   123,597/271,257 = 271,257/x
3. Step 3: Cross multiply
   123,597x = 271,257 × 271,257
4. Step 4: Simplify right side
   123,597x = 73,580,360,049
5. Step 5: Solve for x
   x = 73,580,360,049/123,597
6. Step 6: Final answer
   x = 595,324.81