Finding the Third Proportional to 308,978 and 413,835

Step by Step Solution

1. Step 1: Write the proportion equation
   308,978 : 413,835 = 413,835 : x
2. Step 2: Convert to fraction form
   308,978/413,835 = 413,835/x
3. Step 3: Cross multiply
   308,978x = 413,835 × 413,835
4. Step 4: Simplify right side
   308,978x = 171,259,407,225
5. Step 5: Solve for x
   x = 171,259,407,225/308,978
6. Step 6: Final answer
   x = 554,277.03