Finding the Third Proportional to 142,076 and 189,543

Step by Step Solution

1. Step 1: Write the proportion equation
   142,076 : 189,543 = 189,543 : x
2. Step 2: Convert to fraction form
   142,076/189,543 = 189,543/x
3. Step 3: Cross multiply
   142,076x = 189,543 × 189,543
4. Step 4: Simplify right side
   142,076x = 35,926,548,849
5. Step 5: Solve for x
   x = 35,926,548,849/142,076
6. Step 6: Final answer
   x = 252,868.53