Finding the Third Proportional to 472,956 and 714,345

Step by Step Solution

1. Step 1: Write the proportion equation
   472,956 : 714,345 = 714,345 : x
2. Step 2: Convert to fraction form
   472,956/714,345 = 714,345/x
3. Step 3: Cross multiply
   472,956x = 714,345 × 714,345
4. Step 4: Simplify right side
   472,956x = 510,288,779,025
5. Step 5: Solve for x
   x = 510,288,779,025/472,956
6. Step 6: Final answer
   x = 1,078,934.99