Finding the Third Proportional to 140,174 and 209,680

Step by Step Solution

1. Step 1: Write the proportion equation
   140,174 : 209,680 = 209,680 : x
2. Step 2: Convert to fraction form
   140,174/209,680 = 209,680/x
3. Step 3: Cross multiply
   140,174x = 209,680 × 209,680
4. Step 4: Simplify right side
   140,174x = 43,965,702,400
5. Step 5: Solve for x
   x = 43,965,702,400/140,174
6. Step 6: Final answer
   x = 313,650.91