Finding the Third Proportional to 123,901 and 271,514

Step by Step Solution

1. Step 1: Write the proportion equation
   123,901 : 271,514 = 271,514 : x
2. Step 2: Convert to fraction form
   123,901/271,514 = 271,514/x
3. Step 3: Cross multiply
   123,901x = 271,514 × 271,514
4. Step 4: Simplify right side
   123,901x = 73,719,852,196
5. Step 5: Solve for x
   x = 73,719,852,196/123,901
6. Step 6: Final answer
   x = 594,989.97