Finding the Third Proportional to 72,696 and 160,026

Step by Step Solution

1. Step 1: Write the proportion equation
   72,696 : 160,026 = 160,026 : x
2. Step 2: Convert to fraction form
   72,696/160,026 = 160,026/x
3. Step 3: Cross multiply
   72,696x = 160,026 × 160,026
4. Step 4: Simplify right side
   72,696x = 25,608,320,676
5. Step 5: Solve for x
   x = 25,608,320,676/72,696
6. Step 6: Final answer
   x = 352,265.88