Finding the Third Proportional to 123,204 and 176,184

Step by Step Solution

1. Step 1: Write the proportion equation
   123,204 : 176,184 = 176,184 : x
2. Step 2: Convert to fraction form
   123,204/176,184 = 176,184/x
3. Step 3: Cross multiply
   123,204x = 176,184 × 176,184
4. Step 4: Simplify right side
   123,204x = 31,040,801,856
5. Step 5: Solve for x
   x = 31,040,801,856/123,204
6. Step 6: Final answer
   x = 251,946.38