Finding the Third Proportional to 42,296 and 91,885

Step by Step Solution

1. Step 1: Write the proportion equation
   42,296 : 91,885 = 91,885 : x
2. Step 2: Convert to fraction form
   42,296/91,885 = 91,885/x
3. Step 3: Cross multiply
   42,296x = 91,885 × 91,885
4. Step 4: Simplify right side
   42,296x = 8,442,853,225
5. Step 5: Solve for x
   x = 8,442,853,225/42,296
6. Step 6: Final answer
   x = 199,613.51