Finding the Third Proportional to 144,636 and 314,152

Step by Step Solution

1. Step 1: Write the proportion equation
   144,636 : 314,152 = 314,152 : x
2. Step 2: Convert to fraction form
   144,636/314,152 = 314,152/x
3. Step 3: Cross multiply
   144,636x = 314,152 × 314,152
4. Step 4: Simplify right side
   144,636x = 98,691,479,104
5. Step 5: Solve for x
   x = 98,691,479,104/144,636
6. Step 6: Final answer
   x = 682,343.81