Finding the Third Proportional to 120,326 and 256,760

Step by Step Solution

1. Step 1: Write the proportion equation
   120,326 : 256,760 = 256,760 : x
2. Step 2: Convert to fraction form
   120,326/256,760 = 256,760/x
3. Step 3: Cross multiply
   120,326x = 256,760 × 256,760
4. Step 4: Simplify right side
   120,326x = 65,925,697,600
5. Step 5: Solve for x
   x = 65,925,697,600/120,326
6. Step 6: Final answer
   x = 547,892.37