Finding the Third Proportional to 141,696 and 309,744

Step by Step Solution

1. Step 1: Write the proportion equation
   141,696 : 309,744 = 309,744 : x
2. Step 2: Convert to fraction form
   141,696/309,744 = 309,744/x
3. Step 3: Cross multiply
   141,696x = 309,744 × 309,744
4. Step 4: Simplify right side
   141,696x = 95,941,345,536
5. Step 5: Solve for x
   x = 95,941,345,536/141,696
6. Step 6: Final answer
   x = 677,092.83