Finding the Third Proportional to 67,089 and 137,091

Step by Step Solution

1. Step 1: Write the proportion equation
   67,089 : 137,091 = 137,091 : x
2. Step 2: Convert to fraction form
   67,089/137,091 = 137,091/x
3. Step 3: Cross multiply
   67,089x = 137,091 × 137,091
4. Step 4: Simplify right side
   67,089x = 18,793,942,281
5. Step 5: Solve for x
   x = 18,793,942,281/67,089
6. Step 6: Final answer
   x = 280,134.48