Finding the Third Proportional to 123,590 and 271,243

Step by Step Solution

1. Step 1: Write the proportion equation
   123,590 : 271,243 = 271,243 : x
2. Step 2: Convert to fraction form
   123,590/271,243 = 271,243/x
3. Step 3: Cross multiply
   123,590x = 271,243 × 271,243
4. Step 4: Simplify right side
   123,590x = 73,572,765,049
5. Step 5: Solve for x
   x = 73,572,765,049/123,590
6. Step 6: Final answer
   x = 595,297.07