Finding the Third Proportional to 67,092 and 137,097

Step by Step Solution

1. Step 1: Write the proportion equation
   67,092 : 137,097 = 137,097 : x
2. Step 2: Convert to fraction form
   67,092/137,097 = 137,097/x
3. Step 3: Cross multiply
   67,092x = 137,097 × 137,097
4. Step 4: Simplify right side
   67,092x = 18,795,587,409
5. Step 5: Solve for x
   x = 18,795,587,409/67,092
6. Step 6: Final answer
   x = 280,146.48