Finding the Third Proportional to 138,684 and 209,004

Step by Step Solution

1. Step 1: Write the proportion equation
   138,684 : 209,004 = 209,004 : x
2. Step 2: Convert to fraction form
   138,684/209,004 = 209,004/x
3. Step 3: Cross multiply
   138,684x = 209,004 × 209,004
4. Step 4: Simplify right side
   138,684x = 43,682,672,016
5. Step 5: Solve for x
   x = 43,682,672,016/138,684
6. Step 6: Final answer
   x = 314,979.90