Finding the Third Proportional to 127,724 and 274,404

Step by Step Solution

1. Step 1: Write the proportion equation
   127,724 : 274,404 = 274,404 : x
2. Step 2: Convert to fraction form
   127,724/274,404 = 274,404/x
3. Step 3: Cross multiply
   127,724x = 274,404 × 274,404
4. Step 4: Simplify right side
   127,724x = 75,297,555,216
5. Step 5: Solve for x
   x = 75,297,555,216/127,724
6. Step 6: Final answer
   x = 589,533.33