Finding the Third Proportional to 103,618 and 164,768.63

Step by Step Solution

1. Step 1: Write the proportion equation
   103,618 : 164,768.63 = 164,768.63 : x
2. Step 2: Convert to fraction form
   103,618/164,768.63 = 164,768.63/x
3. Step 3: Cross multiply
   103,618x = 164,768.63 × 164,768.63
4. Step 4: Simplify right side
   103,618x = 27,148,699,784.39
5. Step 5: Solve for x
   x = 27,148,699,784.39/103,618
6. Step 6: Final answer
   x = 262,007.56