Finding the Third Proportional to 108,614 and 230,338

Step by Step Solution

1. Step 1: Write the proportion equation
   108,614 : 230,338 = 230,338 : x
2. Step 2: Convert to fraction form
   108,614/230,338 = 230,338/x
3. Step 3: Cross multiply
   108,614x = 230,338 × 230,338
4. Step 4: Simplify right side
   108,614x = 53,055,594,244
5. Step 5: Solve for x
   x = 53,055,594,244/108,614
6. Step 6: Final answer
   x = 488,478.41