Finding the Third Proportional to 317,464 and 431,150

Step by Step Solution

1. Step 1: Write the proportion equation
   317,464 : 431,150 = 431,150 : x
2. Step 2: Convert to fraction form
   317,464/431,150 = 431,150/x
3. Step 3: Cross multiply
   317,464x = 431,150 × 431,150
4. Step 4: Simplify right side
   317,464x = 185,890,322,500
5. Step 5: Solve for x
   x = 185,890,322,500/317,464
6. Step 6: Final answer
   x = 585,547.72