Finding the Third Proportional to 105,706 and 163,710

Step by Step Solution

1. Step 1: Write the proportion equation
   105,706 : 163,710 = 163,710 : x
2. Step 2: Convert to fraction form
   105,706/163,710 = 163,710/x
3. Step 3: Cross multiply
   105,706x = 163,710 × 163,710
4. Step 4: Simplify right side
   105,706x = 26,800,964,100
5. Step 5: Solve for x
   x = 26,800,964,100/105,706
6. Step 6: Final answer
   x = 253,542.51