Finding the Third Proportional to 127,842 and 200,556

Step by Step Solution

1. Step 1: Write the proportion equation
   127,842 : 200,556 = 200,556 : x
2. Step 2: Convert to fraction form
   127,842/200,556 = 200,556/x
3. Step 3: Cross multiply
   127,842x = 200,556 × 200,556
4. Step 4: Simplify right side
   127,842x = 40,222,709,136
5. Step 5: Solve for x
   x = 40,222,709,136/127,842
6. Step 6: Final answer
   x = 314,628.28