Finding the Third Proportional to 67,500 and 133,218

Step by Step Solution

1. Step 1: Write the proportion equation
   67,500 : 133,218 = 133,218 : x
2. Step 2: Convert to fraction form
   67,500/133,218 = 133,218/x
3. Step 3: Cross multiply
   67,500x = 133,218 × 133,218
4. Step 4: Simplify right side
   67,500x = 17,747,035,524
5. Step 5: Solve for x
   x = 17,747,035,524/67,500
6. Step 6: Final answer
   x = 262,919.04