Finding the Third Proportional to 142,944 and 312,546

Step by Step Solution

1. Step 1: Write the proportion equation
   142,944 : 312,546 = 312,546 : x
2. Step 2: Convert to fraction form
   142,944/312,546 = 312,546/x
3. Step 3: Cross multiply
   142,944x = 312,546 × 312,546
4. Step 4: Simplify right side
   142,944x = 97,685,002,116
5. Step 5: Solve for x
   x = 97,685,002,116/142,944
6. Step 6: Final answer
   x = 683,379.52