Finding the Third Proportional to 144,476 and 314,872

Step by Step Solution

1. Step 1: Write the proportion equation
   144,476 : 314,872 = 314,872 : x
2. Step 2: Convert to fraction form
   144,476/314,872 = 314,872/x
3. Step 3: Cross multiply
   144,476x = 314,872 × 314,872
4. Step 4: Simplify right side
   144,476x = 99,144,376,384
5. Step 5: Solve for x
   x = 99,144,376,384/144,476
6. Step 6: Final answer
   x = 686,234.23