Finding the Third Proportional to 89,123 and 133,234

Step by Step Solution

1. Step 1: Write the proportion equation
   89,123 : 133,234 = 133,234 : x
2. Step 2: Convert to fraction form
   89,123/133,234 = 133,234/x
3. Step 3: Cross multiply
   89,123x = 133,234 × 133,234
4. Step 4: Simplify right side
   89,123x = 17,751,298,756
5. Step 5: Solve for x
   x = 17,751,298,756/89,123
6. Step 6: Final answer
   x = 199,177.53