Finding the Third Proportional to 105,780 and 164,052

Step by Step Solution

1. Step 1: Write the proportion equation
   105,780 : 164,052 = 164,052 : x
2. Step 2: Convert to fraction form
   105,780/164,052 = 164,052/x
3. Step 3: Cross multiply
   105,780x = 164,052 × 164,052
4. Step 4: Simplify right side
   105,780x = 26,913,058,704
5. Step 5: Solve for x
   x = 26,913,058,704/105,780
6. Step 6: Final answer
   x = 254,424.83