Finding the Third Proportional to 142,596 and 309,826

Step by Step Solution

1. Step 1: Write the proportion equation
   142,596 : 309,826 = 309,826 : x
2. Step 2: Convert to fraction form
   142,596/309,826 = 309,826/x
3. Step 3: Cross multiply
   142,596x = 309,826 × 309,826
4. Step 4: Simplify right side
   142,596x = 95,992,150,276
5. Step 5: Solve for x
   x = 95,992,150,276/142,596
6. Step 6: Final answer
   x = 673,175.62