Finding the Third Proportional to 41,456 and 89,464

Step by Step Solution

1. Step 1: Write the proportion equation
   41,456 : 89,464 = 89,464 : x
2. Step 2: Convert to fraction form
   41,456/89,464 = 89,464/x
3. Step 3: Cross multiply
   41,456x = 89,464 × 89,464
4. Step 4: Simplify right side
   41,456x = 8,003,807,296
5. Step 5: Solve for x
   x = 8,003,807,296/41,456
6. Step 6: Final answer
   x = 193,067.52