Finding the Third Proportional to 51,086 and 108,314

Step by Step Solution

1. Step 1: Write the proportion equation
   51,086 : 108,314 = 108,314 : x
2. Step 2: Convert to fraction form
   51,086/108,314 = 108,314/x
3. Step 3: Cross multiply
   51,086x = 108,314 × 108,314
4. Step 4: Simplify right side
   51,086x = 11,731,922,596
5. Step 5: Solve for x
   x = 11,731,922,596/51,086
6. Step 6: Final answer
   x = 229,650.44