Finding the Third Proportional to 144,189 and 315,526

Step by Step Solution

1. Step 1: Write the proportion equation
   144,189 : 315,526 = 315,526 : x
2. Step 2: Convert to fraction form
   144,189/315,526 = 315,526/x
3. Step 3: Cross multiply
   144,189x = 315,526 × 315,526
4. Step 4: Simplify right side
   144,189x = 99,556,656,676
5. Step 5: Solve for x
   x = 99,556,656,676/144,189
6. Step 6: Final answer
   x = 690,459.44