Finding the Third Proportional to 89,689 and 185,211

Step by Step Solution

1. Step 1: Write the proportion equation
   89,689 : 185,211 = 185,211 : x
2. Step 2: Convert to fraction form
   89,689/185,211 = 185,211/x
3. Step 3: Cross multiply
   89,689x = 185,211 × 185,211
4. Step 4: Simplify right side
   89,689x = 34,303,114,521
5. Step 5: Solve for x
   x = 34,303,114,521/89,689
6. Step 6: Final answer
   x = 382,467.35