Finding the Third Proportional to 72,966 and 159,770

Step by Step Solution

1. Step 1: Write the proportion equation
   72,966 : 159,770 = 159,770 : x
2. Step 2: Convert to fraction form
   72,966/159,770 = 159,770/x
3. Step 3: Cross multiply
   72,966x = 159,770 × 159,770
4. Step 4: Simplify right side
   72,966x = 25,526,452,900
5. Step 5: Solve for x
   x = 25,526,452,900/72,966
6. Step 6: Final answer
   x = 349,840.38