Finding the Third Proportional to 89,164 and 133,764

Step by Step Solution

1. Step 1: Write the proportion equation
   89,164 : 133,764 = 133,764 : x
2. Step 2: Convert to fraction form
   89,164/133,764 = 133,764/x
3. Step 3: Cross multiply
   89,164x = 133,764 × 133,764
4. Step 4: Simplify right side
   89,164x = 17,892,807,696
5. Step 5: Solve for x
   x = 17,892,807,696/89,164
6. Step 6: Final answer
   x = 200,673.00