Finding the Third Proportional to 120,735 and 265,256

Step by Step Solution

1. Step 1: Write the proportion equation
   120,735 : 265,256 = 265,256 : x
2. Step 2: Convert to fraction form
   120,735/265,256 = 265,256/x
3. Step 3: Cross multiply
   120,735x = 265,256 × 265,256
4. Step 4: Simplify right side
   120,735x = 70,360,745,536
5. Step 5: Solve for x
   x = 70,360,745,536/120,735
6. Step 6: Final answer
   x = 582,770.08