Finding the Third Proportional to 127,268 and 287,538

Step by Step Solution

1. Step 1: Write the proportion equation
   127,268 : 287,538 = 287,538 : x
2. Step 2: Convert to fraction form
   127,268/287,538 = 287,538/x
3. Step 3: Cross multiply
   127,268x = 287,538 × 287,538
4. Step 4: Simplify right side
   127,268x = 82,678,101,444
5. Step 5: Solve for x
   x = 82,678,101,444/127,268
6. Step 6: Final answer
   x = 649,637.78