Finding the Third Proportional to 240,466 and 375,256

Step by Step Solution

1. Step 1: Write the proportion equation
   240,466 : 375,256 = 375,256 : x
2. Step 2: Convert to fraction form
   240,466/375,256 = 375,256/x
3. Step 3: Cross multiply
   240,466x = 375,256 × 375,256
4. Step 4: Simplify right side
   240,466x = 140,817,065,536
5. Step 5: Solve for x
   x = 140,817,065,536/240,466
6. Step 6: Final answer
   x = 585,600.73