Finding the Third Proportional to 67,500 and 156,267

Step by Step Solution

1. Step 1: Write the proportion equation
   67,500 : 156,267 = 156,267 : x
2. Step 2: Convert to fraction form
   67,500/156,267 = 156,267/x
3. Step 3: Cross multiply
   67,500x = 156,267 × 156,267
4. Step 4: Simplify right side
   67,500x = 24,419,375,289
5. Step 5: Solve for x
   x = 24,419,375,289/67,500
6. Step 6: Final answer
   x = 361,768.52