Finding the Third Proportional to 144,364 and 314,936

Step by Step Solution

1. Step 1: Write the proportion equation
   144,364 : 314,936 = 314,936 : x
2. Step 2: Convert to fraction form
   144,364/314,936 = 314,936/x
3. Step 3: Cross multiply
   144,364x = 314,936 × 314,936
4. Step 4: Simplify right side
   144,364x = 99,184,684,096
5. Step 5: Solve for x
   x = 99,184,684,096/144,364
6. Step 6: Final answer
   x = 687,045.83