Finding the Third Proportional to 138,665 and 205,959

Step by Step Solution

1. Step 1: Write the proportion equation
   138,665 : 205,959 = 205,959 : x
2. Step 2: Convert to fraction form
   138,665/205,959 = 205,959/x
3. Step 3: Cross multiply
   138,665x = 205,959 × 205,959
4. Step 4: Simplify right side
   138,665x = 42,419,109,681
5. Step 5: Solve for x
   x = 42,419,109,681/138,665
6. Step 6: Final answer
   x = 305,910.72