Finding the Third Proportional to 105,732 and 163,910

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 163,910 = 163,910 : x
2. Step 2: Convert to fraction form
   105,732/163,910 = 163,910/x
3. Step 3: Cross multiply
   105,732x = 163,910 × 163,910
4. Step 4: Simplify right side
   105,732x = 26,866,488,100
5. Step 5: Solve for x
   x = 26,866,488,100/105,732
6. Step 6: Final answer
   x = 254,099.88