Finding the Third Proportional to 332,667 and 508,978

Step by Step Solution

1. Step 1: Write the proportion equation
   332,667 : 508,978 = 508,978 : x
2. Step 2: Convert to fraction form
   332,667/508,978 = 508,978/x
3. Step 3: Cross multiply
   332,667x = 508,978 × 508,978
4. Step 4: Simplify right side
   332,667x = 259,058,604,484
5. Step 5: Solve for x
   x = 259,058,604,484/332,667
6. Step 6: Final answer
   x = 778,732.50