Finding the Third Proportional to 126,025 and 275,162

Step by Step Solution

1. Step 1: Write the proportion equation
   126,025 : 275,162 = 275,162 : x
2. Step 2: Convert to fraction form
   126,025/275,162 = 275,162/x
3. Step 3: Cross multiply
   126,025x = 275,162 × 275,162
4. Step 4: Simplify right side
   126,025x = 75,714,126,244
5. Step 5: Solve for x
   x = 75,714,126,244/126,025
6. Step 6: Final answer
   x = 600,786.56