Finding the Third Proportional to 400,025 and 584,238

Step by Step Solution

1. Step 1: Write the proportion equation
   400,025 : 584,238 = 584,238 : x
2. Step 2: Convert to fraction form
   400,025/584,238 = 584,238/x
3. Step 3: Cross multiply
   400,025x = 584,238 × 584,238
4. Step 4: Simplify right side
   400,025x = 341,334,040,644
5. Step 5: Solve for x
   x = 341,334,040,644/400,025
6. Step 6: Final answer
   x = 853,281.77