Finding the Third Proportional to 164,626 and 253,780

Step by Step Solution

1. Step 1: Write the proportion equation
   164,626 : 253,780 = 253,780 : x
2. Step 2: Convert to fraction form
   164,626/253,780 = 253,780/x
3. Step 3: Cross multiply
   164,626x = 253,780 × 253,780
4. Step 4: Simplify right side
   164,626x = 64,404,288,400
5. Step 5: Solve for x
   x = 64,404,288,400/164,626
6. Step 6: Final answer
   x = 391,215.78