Finding the Third Proportional to 76,866 and 179,538

Step by Step Solution

1. Step 1: Write the proportion equation
   76,866 : 179,538 = 179,538 : x
2. Step 2: Convert to fraction form
   76,866/179,538 = 179,538/x
3. Step 3: Cross multiply
   76,866x = 179,538 × 179,538
4. Step 4: Simplify right side
   76,866x = 32,233,893,444
5. Step 5: Solve for x
   x = 32,233,893,444/76,866
6. Step 6: Final answer
   x = 419,351.77