Finding the Third Proportional to 41,480 and 89,296

Step by Step Solution

1. Step 1: Write the proportion equation
   41,480 : 89,296 = 89,296 : x
2. Step 2: Convert to fraction form
   41,480/89,296 = 89,296/x
3. Step 3: Cross multiply
   41,480x = 89,296 × 89,296
4. Step 4: Simplify right side
   41,480x = 7,973,775,616
5. Step 5: Solve for x
   x = 7,973,775,616/41,480
6. Step 6: Final answer
   x = 192,231.81