Finding the Third Proportional to 67,852 and 137,530

Step by Step Solution

1. Step 1: Write the proportion equation
   67,852 : 137,530 = 137,530 : x
2. Step 2: Convert to fraction form
   67,852/137,530 = 137,530/x
3. Step 3: Cross multiply
   67,852x = 137,530 × 137,530
4. Step 4: Simplify right side
   67,852x = 18,914,500,900
5. Step 5: Solve for x
   x = 18,914,500,900/67,852
6. Step 6: Final answer
   x = 278,761.14