Finding the Third Proportional to 65,257 and 142,500

Step by Step Solution

1. Step 1: Write the proportion equation
   65,257 : 142,500 = 142,500 : x
2. Step 2: Convert to fraction form
   65,257/142,500 = 142,500/x
3. Step 3: Cross multiply
   65,257x = 142,500 × 142,500
4. Step 4: Simplify right side
   65,257x = 20,306,250,000
5. Step 5: Solve for x
   x = 20,306,250,000/65,257
6. Step 6: Final answer
   x = 311,173.51