Finding the Third Proportional to 142,074 and 189,540

Step by Step Solution

1. Step 1: Write the proportion equation
   142,074 : 189,540 = 189,540 : x
2. Step 2: Convert to fraction form
   142,074/189,540 = 189,540/x
3. Step 3: Cross multiply
   142,074x = 189,540 × 189,540
4. Step 4: Simplify right side
   142,074x = 35,925,411,600
5. Step 5: Solve for x
   x = 35,925,411,600/142,074
6. Step 6: Final answer
   x = 252,864.08