Finding the Third Proportional to 144,745 and 317,529

Step by Step Solution

1. Step 1: Write the proportion equation
   144,745 : 317,529 = 317,529 : x
2. Step 2: Convert to fraction form
   144,745/317,529 = 317,529/x
3. Step 3: Cross multiply
   144,745x = 317,529 × 317,529
4. Step 4: Simplify right side
   144,745x = 100,824,665,841
5. Step 5: Solve for x
   x = 100,824,665,841/144,745
6. Step 6: Final answer
   x = 696,567.52