Finding the Third Proportional to 105,426 and 163,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,426 : 163,064 = 163,064 : x
2. Step 2: Convert to fraction form
   105,426/163,064 = 163,064/x
3. Step 3: Cross multiply
   105,426x = 163,064 × 163,064
4. Step 4: Simplify right side
   105,426x = 26,589,868,096
5. Step 5: Solve for x
   x = 26,589,868,096/105,426
6. Step 6: Final answer
   x = 252,213.57