Finding the Third Proportional to 159,640 and 213,019

Step by Step Solution

1. Step 1: Write the proportion equation
   159,640 : 213,019 = 213,019 : x
2. Step 2: Convert to fraction form
   159,640/213,019 = 213,019/x
3. Step 3: Cross multiply
   159,640x = 213,019 × 213,019
4. Step 4: Simplify right side
   159,640x = 45,377,094,361
5. Step 5: Solve for x
   x = 45,377,094,361/159,640
6. Step 6: Final answer
   x = 284,246.39