Finding the Third Proportional to 103,626 and 164,780

Step by Step Solution

1. Step 1: Write the proportion equation
   103,626 : 164,780 = 164,780 : x
2. Step 2: Convert to fraction form
   103,626/164,780 = 164,780/x
3. Step 3: Cross multiply
   103,626x = 164,780 × 164,780
4. Step 4: Simplify right side
   103,626x = 27,152,448,400
5. Step 5: Solve for x
   x = 27,152,448,400/103,626
6. Step 6: Final answer
   x = 262,023.51