Finding the Third Proportional to 140,462.25 and 309,555

Step by Step Solution

1. Step 1: Write the proportion equation
   140,462.25 : 309,555 = 309,555 : x
2. Step 2: Convert to fraction form
   140,462.25/309,555 = 309,555/x
3. Step 3: Cross multiply
   140,462.25x = 309,555 × 309,555
4. Step 4: Simplify right side
   140,462.25x = 95,824,298,025
5. Step 5: Solve for x
   x = 95,824,298,025/140,462.25
6. Step 6: Final answer
   x = 682,206.77