Finding the Third Proportional to 86,082 and 142,254

Step by Step Solution

1. Step 1: Write the proportion equation
   86,082 : 142,254 = 142,254 : x
2. Step 2: Convert to fraction form
   86,082/142,254 = 142,254/x
3. Step 3: Cross multiply
   86,082x = 142,254 × 142,254
4. Step 4: Simplify right side
   86,082x = 20,236,200,516
5. Step 5: Solve for x
   x = 20,236,200,516/86,082
6. Step 6: Final answer
   x = 235,080.51