Finding the Third Proportional to 119,780 and 254,162

Step by Step Solution

1. Step 1: Write the proportion equation
   119,780 : 254,162 = 254,162 : x
2. Step 2: Convert to fraction form
   119,780/254,162 = 254,162/x
3. Step 3: Cross multiply
   119,780x = 254,162 × 254,162
4. Step 4: Simplify right side
   119,780x = 64,598,322,244
5. Step 5: Solve for x
   x = 64,598,322,244/119,780
6. Step 6: Final answer
   x = 539,308.08