Finding the Third Proportional to 517,677 and 812,238

Step by Step Solution

1. Step 1: Write the proportion equation
   517,677 : 812,238 = 812,238 : x
2. Step 2: Convert to fraction form
   517,677/812,238 = 812,238/x
3. Step 3: Cross multiply
   517,677x = 812,238 × 812,238
4. Step 4: Simplify right side
   517,677x = 659,730,568,644
5. Step 5: Solve for x
   x = 659,730,568,644/517,677
6. Step 6: Final answer
   x = 1,274,405.79