Finding the Third Proportional to 308,980 and 413,838

Step by Step Solution

1. Step 1: Write the proportion equation
   308,980 : 413,838 = 413,838 : x
2. Step 2: Convert to fraction form
   308,980/413,838 = 413,838/x
3. Step 3: Cross multiply
   308,980x = 413,838 × 413,838
4. Step 4: Simplify right side
   308,980x = 171,261,890,244
5. Step 5: Solve for x
   x = 171,261,890,244/308,980
6. Step 6: Final answer
   x = 554,281.48