Finding the Third Proportional to 123,574 and 271,206

Step by Step Solution

1. Step 1: Write the proportion equation
   123,574 : 271,206 = 271,206 : x
2. Step 2: Convert to fraction form
   123,574/271,206 = 271,206/x
3. Step 3: Cross multiply
   123,574x = 271,206 × 271,206
4. Step 4: Simplify right side
   123,574x = 73,552,694,436
5. Step 5: Solve for x
   x = 73,552,694,436/123,574
6. Step 6: Final answer
   x = 595,211.73