Finding the Third Proportional to 500,066 and 774,524

Step by Step Solution

1. Step 1: Write the proportion equation
   500,066 : 774,524 = 774,524 : x
2. Step 2: Convert to fraction form
   500,066/774,524 = 774,524/x
3. Step 3: Cross multiply
   500,066x = 774,524 × 774,524
4. Step 4: Simplify right side
   500,066x = 599,887,426,576
5. Step 5: Solve for x
   x = 599,887,426,576/500,066
6. Step 6: Final answer
   x = 1,199,616.50