Finding the Third Proportional to 144,474 and 314,868

Step by Step Solution

1. Step 1: Write the proportion equation
   144,474 : 314,868 = 314,868 : x
2. Step 2: Convert to fraction form
   144,474/314,868 = 314,868/x
3. Step 3: Cross multiply
   144,474x = 314,868 × 314,868
4. Step 4: Simplify right side
   144,474x = 99,141,857,424
5. Step 5: Solve for x
   x = 99,141,857,424/144,474
6. Step 6: Final answer
   x = 686,226.29