Finding the Third Proportional to 41,512 and 89,684

Step by Step Solution

1. Step 1: Write the proportion equation
   41,512 : 89,684 = 89,684 : x
2. Step 2: Convert to fraction form
   41,512/89,684 = 89,684/x
3. Step 3: Cross multiply
   41,512x = 89,684 × 89,684
4. Step 4: Simplify right side
   41,512x = 8,043,219,856
5. Step 5: Solve for x
   x = 8,043,219,856/41,512
6. Step 6: Final answer
   x = 193,756.50