Finding the Third Proportional to 400,833 and 588,105

Step by Step Solution

1. Step 1: Write the proportion equation
   400,833 : 588,105 = 588,105 : x
2. Step 2: Convert to fraction form
   400,833/588,105 = 588,105/x
3. Step 3: Cross multiply
   400,833x = 588,105 × 588,105
4. Step 4: Simplify right side
   400,833x = 345,867,491,025
5. Step 5: Solve for x
   x = 345,867,491,025/400,833
6. Step 6: Final answer
   x = 862,871.80