Finding the Third Proportional to 123,214 and 179,078

Step by Step Solution

1. Step 1: Write the proportion equation
   123,214 : 179,078 = 179,078 : x
2. Step 2: Convert to fraction form
   123,214/179,078 = 179,078/x
3. Step 3: Cross multiply
   123,214x = 179,078 × 179,078
4. Step 4: Simplify right side
   123,214x = 32,068,930,084
5. Step 5: Solve for x
   x = 32,068,930,084/123,214
6. Step 6: Final answer
   x = 260,270.18