Finding the Third Proportional to 145,256 and 222,108

Step by Step Solution

1. Step 1: Write the proportion equation
   145,256 : 222,108 = 222,108 : x
2. Step 2: Convert to fraction form
   145,256/222,108 = 222,108/x
3. Step 3: Cross multiply
   145,256x = 222,108 × 222,108
4. Step 4: Simplify right side
   145,256x = 49,331,963,664
5. Step 5: Solve for x
   x = 49,331,963,664/145,256
6. Step 6: Final answer
   x = 339,620.83