Finding the Third Proportional to 72,649 and 159,676

Step by Step Solution

1. Step 1: Write the proportion equation
   72,649 : 159,676 = 159,676 : x
2. Step 2: Convert to fraction form
   72,649/159,676 = 159,676/x
3. Step 3: Cross multiply
   72,649x = 159,676 × 159,676
4. Step 4: Simplify right side
   72,649x = 25,496,424,976
5. Step 5: Solve for x
   x = 25,496,424,976/72,649
6. Step 6: Final answer
   x = 350,953.56