Finding the Third Proportional to 89,669 and 185,170

Step by Step Solution

1. Step 1: Write the proportion equation
   89,669 : 185,170 = 185,170 : x
2. Step 2: Convert to fraction form
   89,669/185,170 = 185,170/x
3. Step 3: Cross multiply
   89,669x = 185,170 × 185,170
4. Step 4: Simplify right side
   89,669x = 34,287,928,900
5. Step 5: Solve for x
   x = 34,287,928,900/89,669
6. Step 6: Final answer
   x = 382,383.31