Finding the Third Proportional to 41,812 and 89,293

Step by Step Solution

1. Step 1: Write the proportion equation
   41,812 : 89,293 = 89,293 : x
2. Step 2: Convert to fraction form
   41,812/89,293 = 89,293/x
3. Step 3: Cross multiply
   41,812x = 89,293 × 89,293
4. Step 4: Simplify right side
   41,812x = 7,973,239,849
5. Step 5: Solve for x
   x = 7,973,239,849/41,812
6. Step 6: Final answer
   x = 190,692.62