Finding the Third Proportional to 108,784 and 230,618

Step by Step Solution

1. Step 1: Write the proportion equation
   108,784 : 230,618 = 230,618 : x
2. Step 2: Convert to fraction form
   108,784/230,618 = 230,618/x
3. Step 3: Cross multiply
   108,784x = 230,618 × 230,618
4. Step 4: Simplify right side
   108,784x = 53,184,661,924
5. Step 5: Solve for x
   x = 53,184,661,924/108,784
6. Step 6: Final answer
   x = 488,901.51