Finding the Third Proportional to 131,621 and 209,096

Step by Step Solution

1. Step 1: Write the proportion equation
   131,621 : 209,096 = 209,096 : x
2. Step 2: Convert to fraction form
   131,621/209,096 = 209,096/x
3. Step 3: Cross multiply
   131,621x = 209,096 × 209,096
4. Step 4: Simplify right side
   131,621x = 43,721,137,216
5. Step 5: Solve for x
   x = 43,721,137,216/131,621
6. Step 6: Final answer
   x = 332,174.48