Finding the Third Proportional to 67,096 and 142,184

Step by Step Solution

1. Step 1: Write the proportion equation
   67,096 : 142,184 = 142,184 : x
2. Step 2: Convert to fraction form
   67,096/142,184 = 142,184/x
3. Step 3: Cross multiply
   67,096x = 142,184 × 142,184
4. Step 4: Simplify right side
   67,096x = 20,216,289,856
5. Step 5: Solve for x
   x = 20,216,289,856/67,096
6. Step 6: Final answer
   x = 301,303.95