Finding the Third Proportional to 42,760 and 92,096

Step by Step Solution

1. Step 1: Write the proportion equation
   42,760 : 92,096 = 92,096 : x
2. Step 2: Convert to fraction form
   42,760/92,096 = 92,096/x
3. Step 3: Cross multiply
   42,760x = 92,096 × 92,096
4. Step 4: Simplify right side
   42,760x = 8,481,673,216
5. Step 5: Solve for x
   x = 8,481,673,216/42,760
6. Step 6: Final answer
   x = 198,355.31