Finding the Third Proportional to 257,992 and 388,500

Step by Step Solution

1. Step 1: Write the proportion equation
   257,992 : 388,500 = 388,500 : x
2. Step 2: Convert to fraction form
   257,992/388,500 = 388,500/x
3. Step 3: Cross multiply
   257,992x = 388,500 × 388,500
4. Step 4: Simplify right side
   257,992x = 150,932,250,000
5. Step 5: Solve for x
   x = 150,932,250,000/257,992
6. Step 6: Final answer
   x = 585,026.86