Finding the Third Proportional to 102,208 and 224,096

Step by Step Solution

1. Step 1: Write the proportion equation
   102,208 : 224,096 = 224,096 : x
2. Step 2: Convert to fraction form
   102,208/224,096 = 224,096/x
3. Step 3: Cross multiply
   102,208x = 224,096 × 224,096
4. Step 4: Simplify right side
   102,208x = 50,219,017,216
5. Step 5: Solve for x
   x = 50,219,017,216/102,208
6. Step 6: Final answer
   x = 491,341.36