Finding the Third Proportional to 67,827 and 137,500

Step by Step Solution

1. Step 1: Write the proportion equation
   67,827 : 137,500 = 137,500 : x
2. Step 2: Convert to fraction form
   67,827/137,500 = 137,500/x
3. Step 3: Cross multiply
   67,827x = 137,500 × 137,500
4. Step 4: Simplify right side
   67,827x = 18,906,250,000
5. Step 5: Solve for x
   x = 18,906,250,000/67,827
6. Step 6: Final answer
   x = 278,742.24