Finding the Third Proportional to 41,353 and 89,706

Step by Step Solution

1. Step 1: Write the proportion equation
   41,353 : 89,706 = 89,706 : x
2. Step 2: Convert to fraction form
   41,353/89,706 = 89,706/x
3. Step 3: Cross multiply
   41,353x = 89,706 × 89,706
4. Step 4: Simplify right side
   41,353x = 8,047,166,436
5. Step 5: Solve for x
   x = 8,047,166,436/41,353
6. Step 6: Final answer
   x = 194,596.92