Finding the Third Proportional to 144,404 and 316,705

Step by Step Solution

1. Step 1: Write the proportion equation
   144,404 : 316,705 = 316,705 : x
2. Step 2: Convert to fraction form
   144,404/316,705 = 316,705/x
3. Step 3: Cross multiply
   144,404x = 316,705 × 316,705
4. Step 4: Simplify right side
   144,404x = 100,302,057,025
5. Step 5: Solve for x
   x = 100,302,057,025/144,404
6. Step 6: Final answer
   x = 694,593.34