Finding the Third Proportional to 146,256 and 317,304

Step by Step Solution

1. Step 1: Write the proportion equation
   146,256 : 317,304 = 317,304 : x
2. Step 2: Convert to fraction form
   146,256/317,304 = 317,304/x
3. Step 3: Cross multiply
   146,256x = 317,304 × 317,304
4. Step 4: Simplify right side
   146,256x = 100,681,828,416
5. Step 5: Solve for x
   x = 100,681,828,416/146,256
6. Step 6: Final answer
   x = 688,394.52