Finding the Third Proportional to 51,286 and 105,128

Step by Step Solution

1. Step 1: Write the proportion equation
   51,286 : 105,128 = 105,128 : x
2. Step 2: Convert to fraction form
   51,286/105,128 = 105,128/x
3. Step 3: Cross multiply
   51,286x = 105,128 × 105,128
4. Step 4: Simplify right side
   51,286x = 11,051,896,384
5. Step 5: Solve for x
   x = 11,051,896,384/51,286
6. Step 6: Final answer
   x = 215,495.39