Finding the Third Proportional to 123,940 and 271,640

Step by Step Solution

1. Step 1: Write the proportion equation
   123,940 : 271,640 = 271,640 : x
2. Step 2: Convert to fraction form
   123,940/271,640 = 271,640/x
3. Step 3: Cross multiply
   123,940x = 271,640 × 271,640
4. Step 4: Simplify right side
   123,940x = 73,788,289,600
5. Step 5: Solve for x
   x = 73,788,289,600/123,940
6. Step 6: Final answer
   x = 595,354.93