Finding the Third Proportional to 67,077 and 138,406

Step by Step Solution

1. Step 1: Write the proportion equation
   67,077 : 138,406 = 138,406 : x
2. Step 2: Convert to fraction form
   67,077/138,406 = 138,406/x
3. Step 3: Cross multiply
   67,077x = 138,406 × 138,406
4. Step 4: Simplify right side
   67,077x = 19,156,220,836
5. Step 5: Solve for x
   x = 19,156,220,836/67,077
6. Step 6: Final answer
   x = 285,585.53