Finding the Third Proportional to 89,168 and 133,770

Step by Step Solution

1. Step 1: Write the proportion equation
   89,168 : 133,770 = 133,770 : x
2. Step 2: Convert to fraction form
   89,168/133,770 = 133,770/x
3. Step 3: Cross multiply
   89,168x = 133,770 × 133,770
4. Step 4: Simplify right side
   89,168x = 17,894,412,900
5. Step 5: Solve for x
   x = 17,894,412,900/89,168
6. Step 6: Final answer
   x = 200,682.00