Finding the Third Proportional to 105,162 and 163,145

Step by Step Solution

1. Step 1: Write the proportion equation
   105,162 : 163,145 = 163,145 : x
2. Step 2: Convert to fraction form
   105,162/163,145 = 163,145/x
3. Step 3: Cross multiply
   105,162x = 163,145 × 163,145
4. Step 4: Simplify right side
   105,162x = 26,616,291,025
5. Step 5: Solve for x
   x = 26,616,291,025/105,162
6. Step 6: Final answer
   x = 253,097.99