Finding the Third Proportional to 123,216 and 179,081

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 179,081 = 179,081 : x
2. Step 2: Convert to fraction form
   123,216/179,081 = 179,081/x
3. Step 3: Cross multiply
   123,216x = 179,081 × 179,081
4. Step 4: Simplify right side
   123,216x = 32,070,004,561
5. Step 5: Solve for x
   x = 32,070,004,561/123,216
6. Step 6: Final answer
   x = 260,274.68