Finding the Third Proportional to 142,626 and 213,494

Step by Step Solution

1. Step 1: Write the proportion equation
   142,626 : 213,494 = 213,494 : x
2. Step 2: Convert to fraction form
   142,626/213,494 = 213,494/x
3. Step 3: Cross multiply
   142,626x = 213,494 × 213,494
4. Step 4: Simplify right side
   142,626x = 45,579,688,036
5. Step 5: Solve for x
   x = 45,579,688,036/142,626
6. Step 6: Final answer
   x = 319,574.89