Finding the Third Proportional to 89,667 and 185,166

Step by Step Solution

1. Step 1: Write the proportion equation
   89,667 : 185,166 = 185,166 : x
2. Step 2: Convert to fraction form
   89,667/185,166 = 185,166/x
3. Step 3: Cross multiply
   89,667x = 185,166 × 185,166
4. Step 4: Simplify right side
   89,667x = 34,286,447,556
5. Step 5: Solve for x
   x = 34,286,447,556/89,667
6. Step 6: Final answer
   x = 382,375.32