Finding the Third Proportional to 72,996 and 160,356

Step by Step Solution

1. Step 1: Write the proportion equation
   72,996 : 160,356 = 160,356 : x
2. Step 2: Convert to fraction form
   72,996/160,356 = 160,356/x
3. Step 3: Cross multiply
   72,996x = 160,356 × 160,356
4. Step 4: Simplify right side
   72,996x = 25,714,046,736
5. Step 5: Solve for x
   x = 25,714,046,736/72,996
6. Step 6: Final answer
   x = 352,266.52