Finding the Third Proportional to 41,675 and 89,865

Step by Step Solution

1. Step 1: Write the proportion equation
   41,675 : 89,865 = 89,865 : x
2. Step 2: Convert to fraction form
   41,675/89,865 = 89,865/x
3. Step 3: Cross multiply
   41,675x = 89,865 × 89,865
4. Step 4: Simplify right side
   41,675x = 8,075,718,225
5. Step 5: Solve for x
   x = 8,075,718,225/41,675
6. Step 6: Final answer
   x = 193,778.48