Finding the Third Proportional to 105,106 and 163,196

Step by Step Solution

1. Step 1: Write the proportion equation
   105,106 : 163,196 = 163,196 : x
2. Step 2: Convert to fraction form
   105,106/163,196 = 163,196/x
3. Step 3: Cross multiply
   105,106x = 163,196 × 163,196
4. Step 4: Simplify right side
   105,106x = 26,632,934,416
5. Step 5: Solve for x
   x = 26,632,934,416/105,106
6. Step 6: Final answer
   x = 253,391.19