Finding the Third Proportional to 142,049 and 310,826

Step by Step Solution

1. Step 1: Write the proportion equation
   142,049 : 310,826 = 310,826 : x
2. Step 2: Convert to fraction form
   142,049/310,826 = 310,826/x
3. Step 3: Cross multiply
   142,049x = 310,826 × 310,826
4. Step 4: Simplify right side
   142,049x = 96,612,802,276
5. Step 5: Solve for x
   x = 96,612,802,276/142,049
6. Step 6: Final answer
   x = 680,137.15