Finding the Third Proportional to 106,192 and 222,608

Step by Step Solution

1. Step 1: Write the proportion equation
   106,192 : 222,608 = 222,608 : x
2. Step 2: Convert to fraction form
   106,192/222,608 = 222,608/x
3. Step 3: Cross multiply
   106,192x = 222,608 × 222,608
4. Step 4: Simplify right side
   106,192x = 49,554,321,664
5. Step 5: Solve for x
   x = 49,554,321,664/106,192
6. Step 6: Final answer
   x = 466,648.35