Finding the Third Proportional to 108,678 and 224,340

Step by Step Solution

1. Step 1: Write the proportion equation
   108,678 : 224,340 = 224,340 : x
2. Step 2: Convert to fraction form
   108,678/224,340 = 224,340/x
3. Step 3: Cross multiply
   108,678x = 224,340 × 224,340
4. Step 4: Simplify right side
   108,678x = 50,328,435,600
5. Step 5: Solve for x
   x = 50,328,435,600/108,678
6. Step 6: Final answer
   x = 463,096.81