Finding the Third Proportional to 143,014 and 314,035

Step by Step Solution

1. Step 1: Write the proportion equation
   143,014 : 314,035 = 314,035 : x
2. Step 2: Convert to fraction form
   143,014/314,035 = 314,035/x
3. Step 3: Cross multiply
   143,014x = 314,035 × 314,035
4. Step 4: Simplify right side
   143,014x = 98,617,981,225
5. Step 5: Solve for x
   x = 98,617,981,225/143,014
6. Step 6: Final answer
   x = 689,568.72