Finding the Third Proportional to 123,208 and 179,968

Step by Step Solution

1. Step 1: Write the proportion equation
   123,208 : 179,968 = 179,968 : x
2. Step 2: Convert to fraction form
   123,208/179,968 = 179,968/x
3. Step 3: Cross multiply
   123,208x = 179,968 × 179,968
4. Step 4: Simplify right side
   123,208x = 32,388,481,024
5. Step 5: Solve for x
   x = 32,388,481,024/123,208
6. Step 6: Final answer
   x = 262,876.44