Finding the Third Proportional to 67,108 and 137,128

Step by Step Solution

1. Step 1: Write the proportion equation
   67,108 : 137,128 = 137,128 : x
2. Step 2: Convert to fraction form
   67,108/137,128 = 137,128/x
3. Step 3: Cross multiply
   67,108x = 137,128 × 137,128
4. Step 4: Simplify right side
   67,108x = 18,804,088,384
5. Step 5: Solve for x
   x = 18,804,088,384/67,108
6. Step 6: Final answer
   x = 280,206.36