Finding the Third Proportional to 89,236 and 185,866

Step by Step Solution

1. Step 1: Write the proportion equation
   89,236 : 185,866 = 185,866 : x
2. Step 2: Convert to fraction form
   89,236/185,866 = 185,866/x
3. Step 3: Cross multiply
   89,236x = 185,866 × 185,866
4. Step 4: Simplify right side
   89,236x = 34,546,169,956
5. Step 5: Solve for x
   x = 34,546,169,956/89,236
6. Step 6: Final answer
   x = 387,132.66