Finding the Third Proportional to 142,182 and 213,633

Step by Step Solution

1. Step 1: Write the proportion equation
   142,182 : 213,633 = 213,633 : x
2. Step 2: Convert to fraction form
   142,182/213,633 = 213,633/x
3. Step 3: Cross multiply
   142,182x = 213,633 × 213,633
4. Step 4: Simplify right side
   142,182x = 45,639,058,689
5. Step 5: Solve for x
   x = 45,639,058,689/142,182
6. Step 6: Final answer
   x = 320,990.41