Finding the Third Proportional to 41,466 and 89,556

Step by Step Solution

1. Step 1: Write the proportion equation
   41,466 : 89,556 = 89,556 : x
2. Step 2: Convert to fraction form
   41,466/89,556 = 89,556/x
3. Step 3: Cross multiply
   41,466x = 89,556 × 89,556
4. Step 4: Simplify right side
   41,466x = 8,020,277,136
5. Step 5: Solve for x
   x = 8,020,277,136/41,466
6. Step 6: Final answer
   x = 193,418.15