Finding the Third Proportional to 50,618 and 76,623

Step by Step Solution

1. Step 1: Write the proportion equation
   50,618 : 76,623 = 76,623 : x
2. Step 2: Convert to fraction form
   50,618/76,623 = 76,623/x
3. Step 3: Cross multiply
   50,618x = 76,623 × 76,623
4. Step 4: Simplify right side
   50,618x = 5,871,084,129
5. Step 5: Solve for x
   x = 5,871,084,129/50,618
6. Step 6: Final answer
   x = 115,988.07