Finding the Third Proportional to 127,597 and 274,693

Step by Step Solution

1. Step 1: Write the proportion equation
   127,597 : 274,693 = 274,693 : x
2. Step 2: Convert to fraction form
   127,597/274,693 = 274,693/x
3. Step 3: Cross multiply
   127,597x = 274,693 × 274,693
4. Step 4: Simplify right side
   127,597x = 75,456,244,249
5. Step 5: Solve for x
   x = 75,456,244,249/127,597
6. Step 6: Final answer
   x = 591,363.78