Finding the Third Proportional to 108,680 and 224,128

Step by Step Solution

1. Step 1: Write the proportion equation
   108,680 : 224,128 = 224,128 : x
2. Step 2: Convert to fraction form
   108,680/224,128 = 224,128/x
3. Step 3: Cross multiply
   108,680x = 224,128 × 224,128
4. Step 4: Simplify right side
   108,680x = 50,233,360,384
5. Step 5: Solve for x
   x = 50,233,360,384/108,680
6. Step 6: Final answer
   x = 462,213.47