Finding the Third Proportional to 142,810 and 213,783

Step by Step Solution

1. Step 1: Write the proportion equation
   142,810 : 213,783 = 213,783 : x
2. Step 2: Convert to fraction form
   142,810/213,783 = 213,783/x
3. Step 3: Cross multiply
   142,810x = 213,783 × 213,783
4. Step 4: Simplify right side
   142,810x = 45,703,171,089
5. Step 5: Solve for x
   x = 45,703,171,089/142,810
6. Step 6: Final answer
   x = 320,027.81