Finding the Third Proportional to 128,383 and 188,938

Step by Step Solution

1. Step 1: Write the proportion equation
   128,383 : 188,938 = 188,938 : x
2. Step 2: Convert to fraction form
   128,383/188,938 = 188,938/x
3. Step 3: Cross multiply
   128,383x = 188,938 × 188,938
4. Step 4: Simplify right side
   128,383x = 35,697,567,844
5. Step 5: Solve for x
   x = 35,697,567,844/128,383
6. Step 6: Final answer
   x = 278,055.26