Finding the Third Proportional to 51,286 and 109,871

Step by Step Solution

1. Step 1: Write the proportion equation
   51,286 : 109,871 = 109,871 : x
2. Step 2: Convert to fraction form
   51,286/109,871 = 109,871/x
3. Step 3: Cross multiply
   51,286x = 109,871 × 109,871
4. Step 4: Simplify right side
   51,286x = 12,071,636,641
5. Step 5: Solve for x
   x = 12,071,636,641/51,286
6. Step 6: Final answer
   x = 235,378.79