Finding the Third Proportional to 72,696.25 and 109,408.38

Step by Step Solution

1. Step 1: Write the proportion equation
   72,696.25 : 109,408.38 = 109,408.38 : x
2. Step 2: Convert to fraction form
   72,696.25/109,408.38 = 109,408.38/x
3. Step 3: Cross multiply
   72,696.25x = 109,408.38 × 109,408.38
4. Step 4: Simplify right side
   72,696.25x = 11,970,192,520.14
5. Step 5: Solve for x
   x = 11,970,192,520.14/72,696.25
6. Step 6: Final answer
   x = 164,660.39