Finding the Third Proportional to 89,866 and 139,177

Step by Step Solution

1. Step 1: Write the proportion equation
   89,866 : 139,177 = 139,177 : x
2. Step 2: Convert to fraction form
   89,866/139,177 = 139,177/x
3. Step 3: Cross multiply
   89,866x = 139,177 × 139,177
4. Step 4: Simplify right side
   89,866x = 19,370,237,329
5. Step 5: Solve for x
   x = 19,370,237,329/89,866
6. Step 6: Final answer
   x = 215,545.78