Finding the Third Proportional to 123,621 and 271,299

Step by Step Solution

1. Step 1: Write the proportion equation
   123,621 : 271,299 = 271,299 : x
2. Step 2: Convert to fraction form
   123,621/271,299 = 271,299/x
3. Step 3: Cross multiply
   123,621x = 271,299 × 271,299
4. Step 4: Simplify right side
   123,621x = 73,603,147,401
5. Step 5: Solve for x
   x = 73,603,147,401/123,621
6. Step 6: Final answer
   x = 595,393.56