Finding the Third Proportional to 89,096 and 133,206

Step by Step Solution

1. Step 1: Write the proportion equation
   89,096 : 133,206 = 133,206 : x
2. Step 2: Convert to fraction form
   89,096/133,206 = 133,206/x
3. Step 3: Cross multiply
   89,096x = 133,206 × 133,206
4. Step 4: Simplify right side
   89,096x = 17,743,838,436
5. Step 5: Solve for x
   x = 17,743,838,436/89,096
6. Step 6: Final answer
   x = 199,154.15