Finding the Third Proportional to 67,866 and 137,576

Step by Step Solution

1. Step 1: Write the proportion equation
   67,866 : 137,576 = 137,576 : x
2. Step 2: Convert to fraction form
   67,866/137,576 = 137,576/x
3. Step 3: Cross multiply
   67,866x = 137,576 × 137,576
4. Step 4: Simplify right side
   67,866x = 18,927,155,776
5. Step 5: Solve for x
   x = 18,927,155,776/67,866
6. Step 6: Final answer
   x = 278,890.10