Finding the Third Proportional to 108,664 and 229,128

Step by Step Solution

1. Step 1: Write the proportion equation
   108,664 : 229,128 = 229,128 : x
2. Step 2: Convert to fraction form
   108,664/229,128 = 229,128/x
3. Step 3: Cross multiply
   108,664x = 229,128 × 229,128
4. Step 4: Simplify right side
   108,664x = 52,499,640,384
5. Step 5: Solve for x
   x = 52,499,640,384/108,664
6. Step 6: Final answer
   x = 483,137.38