Finding the Third Proportional to 89,198 and 185,778

Step by Step Solution

1. Step 1: Write the proportion equation
   89,198 : 185,778 = 185,778 : x
2. Step 2: Convert to fraction form
   89,198/185,778 = 185,778/x
3. Step 3: Cross multiply
   89,198x = 185,778 × 185,778
4. Step 4: Simplify right side
   89,198x = 34,513,465,284
5. Step 5: Solve for x
   x = 34,513,465,284/89,198
6. Step 6: Final answer
   x = 386,930.93