Finding the Third Proportional to 248,856 and 382,500

Step by Step Solution

1. Step 1: Write the proportion equation
   248,856 : 382,500 = 382,500 : x
2. Step 2: Convert to fraction form
   248,856/382,500 = 382,500/x
3. Step 3: Cross multiply
   248,856x = 382,500 × 382,500
4. Step 4: Simplify right side
   248,856x = 146,306,250,000
5. Step 5: Solve for x
   x = 146,306,250,000/248,856
6. Step 6: Final answer
   x = 587,915.30