Finding the Third Proportional to 123,208 and 198,424

Step by Step Solution

1. Step 1: Write the proportion equation
   123,208 : 198,424 = 198,424 : x
2. Step 2: Convert to fraction form
   123,208/198,424 = 198,424/x
3. Step 3: Cross multiply
   123,208x = 198,424 × 198,424
4. Step 4: Simplify right side
   123,208x = 39,372,083,776
5. Step 5: Solve for x
   x = 39,372,083,776/123,208
6. Step 6: Final answer
   x = 319,557.85