Finding the Third Proportional to 103,680 and 222,096

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 222,096 = 222,096 : x
2. Step 2: Convert to fraction form
   103,680/222,096 = 222,096/x
3. Step 3: Cross multiply
   103,680x = 222,096 × 222,096
4. Step 4: Simplify right side
   103,680x = 49,326,633,216
5. Step 5: Solve for x
   x = 49,326,633,216/103,680
6. Step 6: Final answer
   x = 475,758.42