Finding the Third Proportional to 143,019 and 314,043

Step by Step Solution

1. Step 1: Write the proportion equation
   143,019 : 314,043 = 314,043 : x
2. Step 2: Convert to fraction form
   143,019/314,043 = 314,043/x
3. Step 3: Cross multiply
   143,019x = 314,043 × 314,043
4. Step 4: Simplify right side
   143,019x = 98,623,005,849
5. Step 5: Solve for x
   x = 98,623,005,849/143,019
6. Step 6: Final answer
   x = 689,579.75