Finding the Third Proportional to 138,647 and 205,932

Step by Step Solution

1. Step 1: Write the proportion equation
   138,647 : 205,932 = 205,932 : x
2. Step 2: Convert to fraction form
   138,647/205,932 = 205,932/x
3. Step 3: Cross multiply
   138,647x = 205,932 × 205,932
4. Step 4: Simplify right side
   138,647x = 42,407,988,624
5. Step 5: Solve for x
   x = 42,407,988,624/138,647
6. Step 6: Final answer
   x = 305,870.22