Finding the Third Proportional to 140,868 and 309,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,868 : 309,384 = 309,384 : x
2. Step 2: Convert to fraction form
   140,868/309,384 = 309,384/x
3. Step 3: Cross multiply
   140,868x = 309,384 × 309,384
4. Step 4: Simplify right side
   140,868x = 95,718,459,456
5. Step 5: Solve for x
   x = 95,718,459,456/140,868
6. Step 6: Final answer
   x = 679,490.44