Finding the Third Proportional to 105,548 and 164,020

Step by Step Solution

1. Step 1: Write the proportion equation
   105,548 : 164,020 = 164,020 : x
2. Step 2: Convert to fraction form
   105,548/164,020 = 164,020/x
3. Step 3: Cross multiply
   105,548x = 164,020 × 164,020
4. Step 4: Simplify right side
   105,548x = 26,902,560,400
5. Step 5: Solve for x
   x = 26,902,560,400/105,548
6. Step 6: Final answer
   x = 254,884.61