Finding the Third Proportional to 42,096 and 92,494

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 92,494 = 92,494 : x
2. Step 2: Convert to fraction form
   42,096/92,494 = 92,494/x
3. Step 3: Cross multiply
   42,096x = 92,494 × 92,494
4. Step 4: Simplify right side
   42,096x = 8,555,140,036
5. Step 5: Solve for x
   x = 8,555,140,036/42,096
6. Step 6: Final answer
   x = 203,229.29