Finding the Third Proportional to 144,004 and 314,212

Step by Step Solution

1. Step 1: Write the proportion equation
   144,004 : 314,212 = 314,212 : x
2. Step 2: Convert to fraction form
   144,004/314,212 = 314,212/x
3. Step 3: Cross multiply
   144,004x = 314,212 × 314,212
4. Step 4: Simplify right side
   144,004x = 98,729,180,944
5. Step 5: Solve for x
   x = 98,729,180,944/144,004
6. Step 6: Final answer
   x = 685,600.27