Finding the Third Proportional to 41,774 and 89,620

Step by Step Solution

1. Step 1: Write the proportion equation
   41,774 : 89,620 = 89,620 : x
2. Step 2: Convert to fraction form
   41,774/89,620 = 89,620/x
3. Step 3: Cross multiply
   41,774x = 89,620 × 89,620
4. Step 4: Simplify right side
   41,774x = 8,031,744,400
5. Step 5: Solve for x
   x = 8,031,744,400/41,774
6. Step 6: Final answer
   x = 192,266.59