Finding the Third Proportional to 234,628 and 377,766

Step by Step Solution

1. Step 1: Write the proportion equation
   234,628 : 377,766 = 377,766 : x
2. Step 2: Convert to fraction form
   234,628/377,766 = 377,766/x
3. Step 3: Cross multiply
   234,628x = 377,766 × 377,766
4. Step 4: Simplify right side
   234,628x = 142,707,150,756
5. Step 5: Solve for x
   x = 142,707,150,756/234,628
6. Step 6: Final answer
   x = 608,227.28