Finding the Third Proportional to 81,392 and 178,096

Step by Step Solution

1. Step 1: Write the proportion equation
   81,392 : 178,096 = 178,096 : x
2. Step 2: Convert to fraction form
   81,392/178,096 = 178,096/x
3. Step 3: Cross multiply
   81,392x = 178,096 × 178,096
4. Step 4: Simplify right side
   81,392x = 31,718,185,216
5. Step 5: Solve for x
   x = 31,718,185,216/81,392
6. Step 6: Final answer
   x = 389,696.59