Finding the Third Proportional to 89,104 and 133,216

Step by Step Solution

1. Step 1: Write the proportion equation
   89,104 : 133,216 = 133,216 : x
2. Step 2: Convert to fraction form
   89,104/133,216 = 133,216/x
3. Step 3: Cross multiply
   89,104x = 133,216 × 133,216
4. Step 4: Simplify right side
   89,104x = 17,746,502,656
5. Step 5: Solve for x
   x = 17,746,502,656/89,104
6. Step 6: Final answer
   x = 199,166.17