Finding the Third Proportional to 41,580 and 89,492

Step by Step Solution

1. Step 1: Write the proportion equation
   41,580 : 89,492 = 89,492 : x
2. Step 2: Convert to fraction form
   41,580/89,492 = 89,492/x
3. Step 3: Cross multiply
   41,580x = 89,492 × 89,492
4. Step 4: Simplify right side
   41,580x = 8,008,818,064
5. Step 5: Solve for x
   x = 8,008,818,064/41,580
6. Step 6: Final answer
   x = 192,612.27