Finding the Third Proportional to 144,790 and 314,507

Step by Step Solution

1. Step 1: Write the proportion equation
   144,790 : 314,507 = 314,507 : x
2. Step 2: Convert to fraction form
   144,790/314,507 = 314,507/x
3. Step 3: Cross multiply
   144,790x = 314,507 × 314,507
4. Step 4: Simplify right side
   144,790x = 98,914,653,049
5. Step 5: Solve for x
   x = 98,914,653,049/144,790
6. Step 6: Final answer
   x = 683,159.42