Finding the Third Proportional to 123,152 and 198,328

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152 : 198,328 = 198,328 : x
2. Step 2: Convert to fraction form
   123,152/198,328 = 198,328/x
3. Step 3: Cross multiply
   123,152x = 198,328 × 198,328
4. Step 4: Simplify right side
   123,152x = 39,333,995,584
5. Step 5: Solve for x
   x = 39,333,995,584/123,152
6. Step 6: Final answer
   x = 319,393.88