Finding the Third Proportional to 356,123 and 550,684

Step by Step Solution

1. Step 1: Write the proportion equation
   356,123 : 550,684 = 550,684 : x
2. Step 2: Convert to fraction form
   356,123/550,684 = 550,684/x
3. Step 3: Cross multiply
   356,123x = 550,684 × 550,684
4. Step 4: Simplify right side
   356,123x = 303,252,867,856
5. Step 5: Solve for x
   x = 303,252,867,856/356,123
6. Step 6: Final answer
   x = 851,539.69