Finding the Third Proportional to 105,768 and 164,024

Step by Step Solution

1. Step 1: Write the proportion equation
   105,768 : 164,024 = 164,024 : x
2. Step 2: Convert to fraction form
   105,768/164,024 = 164,024/x
3. Step 3: Cross multiply
   105,768x = 164,024 × 164,024
4. Step 4: Simplify right side
   105,768x = 26,903,872,576
5. Step 5: Solve for x
   x = 26,903,872,576/105,768
6. Step 6: Final answer
   x = 254,366.85