Finding the Third Proportional to 500,486 and 755,049

Step by Step Solution

1. Step 1: Write the proportion equation
   500,486 : 755,049 = 755,049 : x
2. Step 2: Convert to fraction form
   500,486/755,049 = 755,049/x
3. Step 3: Cross multiply
   500,486x = 755,049 × 755,049
4. Step 4: Simplify right side
   500,486x = 570,098,992,401
5. Step 5: Solve for x
   x = 570,098,992,401/500,486
6. Step 6: Final answer
   x = 1,139,090.79