Finding the Third Proportional to 83,540 and 131,250

Step by Step Solution

1. Step 1: Write the proportion equation
   83,540 : 131,250 = 131,250 : x
2. Step 2: Convert to fraction form
   83,540/131,250 = 131,250/x
3. Step 3: Cross multiply
   83,540x = 131,250 × 131,250
4. Step 4: Simplify right side
   83,540x = 17,226,562,500
5. Step 5: Solve for x
   x = 17,226,562,500/83,540
6. Step 6: Final answer
   x = 206,207.36