Finding the Third Proportional to 41,112 and 89,833

Step by Step Solution

1. Step 1: Write the proportion equation
   41,112 : 89,833 = 89,833 : x
2. Step 2: Convert to fraction form
   41,112/89,833 = 89,833/x
3. Step 3: Cross multiply
   41,112x = 89,833 × 89,833
4. Step 4: Simplify right side
   41,112x = 8,069,967,889
5. Step 5: Solve for x
   x = 8,069,967,889/41,112
6. Step 6: Final answer
   x = 196,292.27