Finding the Third Proportional to 179,968 and 279,384

Step by Step Solution

1. Step 1: Write the proportion equation
   179,968 : 279,384 = 279,384 : x
2. Step 2: Convert to fraction form
   179,968/279,384 = 279,384/x
3. Step 3: Cross multiply
   179,968x = 279,384 × 279,384
4. Step 4: Simplify right side
   179,968x = 78,055,419,456
5. Step 5: Solve for x
   x = 78,055,419,456/179,968
6. Step 6: Final answer
   x = 433,718.32