Finding the Third Proportional to 41,608 and 89,776

Step by Step Solution

1. Step 1: Write the proportion equation
   41,608 : 89,776 = 89,776 : x
2. Step 2: Convert to fraction form
   41,608/89,776 = 89,776/x
3. Step 3: Cross multiply
   41,608x = 89,776 × 89,776
4. Step 4: Simplify right side
   41,608x = 8,059,730,176
5. Step 5: Solve for x
   x = 8,059,730,176/41,608
6. Step 6: Final answer
   x = 193,706.26