Finding the Third Proportional to 41,792 and 91,488

Step by Step Solution

1. Step 1: Write the proportion equation
   41,792 : 91,488 = 91,488 : x
2. Step 2: Convert to fraction form
   41,792/91,488 = 91,488/x
3. Step 3: Cross multiply
   41,792x = 91,488 × 91,488
4. Step 4: Simplify right side
   41,792x = 8,370,054,144
5. Step 5: Solve for x
   x = 8,370,054,144/41,792
6. Step 6: Final answer
   x = 200,278.86