Finding the Third Proportional to 123,938 and 271,636

Step by Step Solution

1. Step 1: Write the proportion equation
   123,938 : 271,636 = 271,636 : x
2. Step 2: Convert to fraction form
   123,938/271,636 = 271,636/x
3. Step 3: Cross multiply
   123,938x = 271,636 × 271,636
4. Step 4: Simplify right side
   123,938x = 73,786,116,496
5. Step 5: Solve for x
   x = 73,786,116,496/123,938
6. Step 6: Final answer
   x = 595,347.00