Finding the Third Proportional to 41,609 and 89,778

Step by Step Solution

1. Step 1: Write the proportion equation
   41,609 : 89,778 = 89,778 : x
2. Step 2: Convert to fraction form
   41,609/89,778 = 89,778/x
3. Step 3: Cross multiply
   41,609x = 89,778 × 89,778
4. Step 4: Simplify right side
   41,609x = 8,060,089,284
5. Step 5: Solve for x
   x = 8,060,089,284/41,609
6. Step 6: Final answer
   x = 193,710.24