Finding the Third Proportional to 512,277 and 823,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,277 : 823,090.50 = 823,090.50 : x
2. Step 2: Convert to fraction form
   512,277/823,090.50 = 823,090.50/x
3. Step 3: Cross multiply
   512,277x = 823,090.50 × 823,090.50
4. Step 4: Simplify right side
   512,277x = 677,477,971,190.25
5. Step 5: Solve for x
   x = 677,477,971,190.25/512,277
6. Step 6: Final answer
   x = 1,322,483.68