Finding the Third Proportional to 89,891 and 133,084

Step by Step Solution

1. Step 1: Write the proportion equation
   89,891 : 133,084 = 133,084 : x
2. Step 2: Convert to fraction form
   89,891/133,084 = 133,084/x
3. Step 3: Cross multiply
   89,891x = 133,084 × 133,084
4. Step 4: Simplify right side
   89,891x = 17,711,351,056
5. Step 5: Solve for x
   x = 17,711,351,056/89,891
6. Step 6: Final answer
   x = 197,031.42