Finding the Third Proportional to 127,666 and 274,556

Step by Step Solution

1. Step 1: Write the proportion equation
   127,666 : 274,556 = 274,556 : x
2. Step 2: Convert to fraction form
   127,666/274,556 = 274,556/x
3. Step 3: Cross multiply
   127,666x = 274,556 × 274,556
4. Step 4: Simplify right side
   127,666x = 75,380,997,136
5. Step 5: Solve for x
   x = 75,380,997,136/127,666
6. Step 6: Final answer
   x = 590,454.76