Finding the Third Proportional to 67,102 and 137,116

Step by Step Solution

1. Step 1: Write the proportion equation
   67,102 : 137,116 = 137,116 : x
2. Step 2: Convert to fraction form
   67,102/137,116 = 137,116/x
3. Step 3: Cross multiply
   67,102x = 137,116 × 137,116
4. Step 4: Simplify right side
   67,102x = 18,800,797,456
5. Step 5: Solve for x
   x = 18,800,797,456/67,102
6. Step 6: Final answer
   x = 280,182.37