Finding the Third Proportional to 103,696 and 222,128

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 222,128 = 222,128 : x
2. Step 2: Convert to fraction form
   103,696/222,128 = 222,128/x
3. Step 3: Cross multiply
   103,696x = 222,128 × 222,128
4. Step 4: Simplify right side
   103,696x = 49,340,848,384
5. Step 5: Solve for x
   x = 49,340,848,384/103,696
6. Step 6: Final answer
   x = 475,822.10