Finding the Third Proportional to 188,684 and 282,998

Step by Step Solution

1. Step 1: Write the proportion equation
   188,684 : 282,998 = 282,998 : x
2. Step 2: Convert to fraction form
   188,684/282,998 = 282,998/x
3. Step 3: Cross multiply
   188,684x = 282,998 × 282,998
4. Step 4: Simplify right side
   188,684x = 80,087,868,004
5. Step 5: Solve for x
   x = 80,087,868,004/188,684
6. Step 6: Final answer
   x = 424,455.00