Finding the Third Proportional to 144,908 and 314,738

Step by Step Solution

1. Step 1: Write the proportion equation
   144,908 : 314,738 = 314,738 : x
2. Step 2: Convert to fraction form
   144,908/314,738 = 314,738/x
3. Step 3: Cross multiply
   144,908x = 314,738 × 314,738
4. Step 4: Simplify right side
   144,908x = 99,060,008,644
5. Step 5: Solve for x
   x = 99,060,008,644/144,908
6. Step 6: Final answer
   x = 683,606.21