Finding the Third Proportional to 41,892 and 91,172

Step by Step Solution

1. Step 1: Write the proportion equation
   41,892 : 91,172 = 91,172 : x
2. Step 2: Convert to fraction form
   41,892/91,172 = 91,172/x
3. Step 3: Cross multiply
   41,892x = 91,172 × 91,172
4. Step 4: Simplify right side
   41,892x = 8,312,333,584
5. Step 5: Solve for x
   x = 8,312,333,584/41,892
6. Step 6: Final answer
   x = 198,422.93