Finding the Third Proportional to 145,305 and 222,184

Step by Step Solution

1. Step 1: Write the proportion equation
   145,305 : 222,184 = 222,184 : x
2. Step 2: Convert to fraction form
   145,305/222,184 = 222,184/x
3. Step 3: Cross multiply
   145,305x = 222,184 × 222,184
4. Step 4: Simplify right side
   145,305x = 49,365,729,856
5. Step 5: Solve for x
   x = 49,365,729,856/145,305
6. Step 6: Final answer
   x = 339,738.69