Finding the Third Proportional to 51,780 and 105,768

Step by Step Solution

1. Step 1: Write the proportion equation
   51,780 : 105,768 = 105,768 : x
2. Step 2: Convert to fraction form
   51,780/105,768 = 105,768/x
3. Step 3: Cross multiply
   51,780x = 105,768 × 105,768
4. Step 4: Simplify right side
   51,780x = 11,186,869,824
5. Step 5: Solve for x
   x = 11,186,869,824/51,780
6. Step 6: Final answer
   x = 216,046.15