Finding the Third Proportional to 140,084 and 209,628

Step by Step Solution

1. Step 1: Write the proportion equation
   140,084 : 209,628 = 209,628 : x
2. Step 2: Convert to fraction form
   140,084/209,628 = 209,628/x
3. Step 3: Cross multiply
   140,084x = 209,628 × 209,628
4. Step 4: Simplify right side
   140,084x = 43,943,898,384
5. Step 5: Solve for x
   x = 43,943,898,384/140,084
6. Step 6: Final answer
   x = 313,696.77