Finding the Third Proportional to 41,014 and 89,410

Step by Step Solution

1. Step 1: Write the proportion equation
   41,014 : 89,410 = 89,410 : x
2. Step 2: Convert to fraction form
   41,014/89,410 = 89,410/x
3. Step 3: Cross multiply
   41,014x = 89,410 × 89,410
4. Step 4: Simplify right side
   41,014x = 7,994,148,100
5. Step 5: Solve for x
   x = 7,994,148,100/41,014
6. Step 6: Final answer
   x = 194,912.67