Finding the Third Proportional to 41,546 and 90,610

Step by Step Solution

1. Step 1: Write the proportion equation
   41,546 : 90,610 = 90,610 : x
2. Step 2: Convert to fraction form
   41,546/90,610 = 90,610/x
3. Step 3: Cross multiply
   41,546x = 90,610 × 90,610
4. Step 4: Simplify right side
   41,546x = 8,210,172,100
5. Step 5: Solve for x
   x = 8,210,172,100/41,546
6. Step 6: Final answer
   x = 197,616.43