Finding the Third Proportional to 67,869 and 137,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   67,869 : 137,561.63 = 137,561.63 : x
2. Step 2: Convert to fraction form
   67,869/137,561.63 = 137,561.63/x
3. Step 3: Cross multiply
   67,869x = 137,561.63 × 137,561.63
4. Step 4: Simplify right side
   67,869x = 18,923,200,672.64
5. Step 5: Solve for x
   x = 18,923,200,672.64/67,869
6. Step 6: Final answer
   x = 278,819.50