Finding the Third Proportional to 142,080 and 189,549

Step by Step Solution

1. Step 1: Write the proportion equation
   142,080 : 189,549 = 189,549 : x
2. Step 2: Convert to fraction form
   142,080/189,549 = 189,549/x
3. Step 3: Cross multiply
   142,080x = 189,549 × 189,549
4. Step 4: Simplify right side
   142,080x = 35,928,823,401
5. Step 5: Solve for x
   x = 35,928,823,401/142,080
6. Step 6: Final answer
   x = 252,877.42