Finding the Third Proportional to 200,584 and 282,222

Step by Step Solution

1. Step 1: Write the proportion equation
   200,584 : 282,222 = 282,222 : x
2. Step 2: Convert to fraction form
   200,584/282,222 = 282,222/x
3. Step 3: Cross multiply
   200,584x = 282,222 × 282,222
4. Step 4: Simplify right side
   200,584x = 79,649,257,284
5. Step 5: Solve for x
   x = 79,649,257,284/200,584
6. Step 6: Final answer
   x = 397,086.79