Finding the Third Proportional to 108,672 and 224,328

Step by Step Solution

1. Step 1: Write the proportion equation
   108,672 : 224,328 = 224,328 : x
2. Step 2: Convert to fraction form
   108,672/224,328 = 224,328/x
3. Step 3: Cross multiply
   108,672x = 224,328 × 224,328
4. Step 4: Simplify right side
   108,672x = 50,323,051,584
5. Step 5: Solve for x
   x = 50,323,051,584/108,672
6. Step 6: Final answer
   x = 463,072.84