Finding the Third Proportional to 41,818 and 90,166

Step by Step Solution

1. Step 1: Write the proportion equation
   41,818 : 90,166 = 90,166 : x
2. Step 2: Convert to fraction form
   41,818/90,166 = 90,166/x
3. Step 3: Cross multiply
   41,818x = 90,166 × 90,166
4. Step 4: Simplify right side
   41,818x = 8,129,907,556
5. Step 5: Solve for x
   x = 8,129,907,556/41,818
6. Step 6: Final answer
   x = 194,411.68