Finding the Third Proportional to 144,644 and 314,992

Step by Step Solution

1. Step 1: Write the proportion equation
   144,644 : 314,992 = 314,992 : x
2. Step 2: Convert to fraction form
   144,644/314,992 = 314,992/x
3. Step 3: Cross multiply
   144,644x = 314,992 × 314,992
4. Step 4: Simplify right side
   144,644x = 99,219,960,064
5. Step 5: Solve for x
   x = 99,219,960,064/144,644
6. Step 6: Final answer
   x = 685,959.74