Finding the Third Proportional to 258,458 and 377,662

Step by Step Solution

1. Step 1: Write the proportion equation
   258,458 : 377,662 = 377,662 : x
2. Step 2: Convert to fraction form
   258,458/377,662 = 377,662/x
3. Step 3: Cross multiply
   258,458x = 377,662 × 377,662
4. Step 4: Simplify right side
   258,458x = 142,628,586,244
5. Step 5: Solve for x
   x = 142,628,586,244/258,458
6. Step 6: Final answer
   x = 551,844.35