Finding the Third Proportional to 164,664 and 254,204

Step by Step Solution

1. Step 1: Write the proportion equation
   164,664 : 254,204 = 254,204 : x
2. Step 2: Convert to fraction form
   164,664/254,204 = 254,204/x
3. Step 3: Cross multiply
   164,664x = 254,204 × 254,204
4. Step 4: Simplify right side
   164,664x = 64,619,673,616
5. Step 5: Solve for x
   x = 64,619,673,616/164,664
6. Step 6: Final answer
   x = 392,433.52