Finding the Third Proportional to 140,736 and 206,488

Step by Step Solution

1. Step 1: Write the proportion equation
   140,736 : 206,488 = 206,488 : x
2. Step 2: Convert to fraction form
   140,736/206,488 = 206,488/x
3. Step 3: Cross multiply
   140,736x = 206,488 × 206,488
4. Step 4: Simplify right side
   140,736x = 42,637,294,144
5. Step 5: Solve for x
   x = 42,637,294,144/140,736
6. Step 6: Final answer
   x = 302,959.40