Finding the Third Proportional to 142,254 and 213,759

Step by Step Solution

1. Step 1: Write the proportion equation
   142,254 : 213,759 = 213,759 : x
2. Step 2: Convert to fraction form
   142,254/213,759 = 213,759/x
3. Step 3: Cross multiply
   142,254x = 213,759 × 213,759
4. Step 4: Simplify right side
   142,254x = 45,692,910,081
5. Step 5: Solve for x
   x = 45,692,910,081/142,254
6. Step 6: Final answer
   x = 321,206.50