Finding the Third Proportional to 41,092 and 89,219

Step by Step Solution

1. Step 1: Write the proportion equation
   41,092 : 89,219 = 89,219 : x
2. Step 2: Convert to fraction form
   41,092/89,219 = 89,219/x
3. Step 3: Cross multiply
   41,092x = 89,219 × 89,219
4. Step 4: Simplify right side
   41,092x = 7,960,029,961
5. Step 5: Solve for x
   x = 7,960,029,961/41,092
6. Step 6: Final answer
   x = 193,712.40