Finding the Third Proportional to 333,118 and 474,766

Step by Step Solution

1. Step 1: Write the proportion equation
   333,118 : 474,766 = 474,766 : x
2. Step 2: Convert to fraction form
   333,118/474,766 = 474,766/x
3. Step 3: Cross multiply
   333,118x = 474,766 × 474,766
4. Step 4: Simplify right side
   333,118x = 225,402,754,756
5. Step 5: Solve for x
   x = 225,402,754,756/333,118
6. Step 6: Final answer
   x = 676,645.38