Finding the Third Proportional to 89,462 and 139,161

Step by Step Solution

1. Step 1: Write the proportion equation
   89,462 : 139,161 = 139,161 : x
2. Step 2: Convert to fraction form
   89,462/139,161 = 139,161/x
3. Step 3: Cross multiply
   89,462x = 139,161 × 139,161
4. Step 4: Simplify right side
   89,462x = 19,365,783,921
5. Step 5: Solve for x
   x = 19,365,783,921/89,462
6. Step 6: Final answer
   x = 216,469.38