Finding the Third Proportional to 144,225 and 309,762

Step by Step Solution

1. Step 1: Write the proportion equation
   144,225 : 309,762 = 309,762 : x
2. Step 2: Convert to fraction form
   144,225/309,762 = 309,762/x
3. Step 3: Cross multiply
   144,225x = 309,762 × 309,762
4. Step 4: Simplify right side
   144,225x = 95,952,496,644
5. Step 5: Solve for x
   x = 95,952,496,644/144,225
6. Step 6: Final answer
   x = 665,297.26