Finding the Third Proportional to 150,212 and 281,500

Step by Step Solution

1. Step 1: Write the proportion equation
   150,212 : 281,500 = 281,500 : x
2. Step 2: Convert to fraction form
   150,212/281,500 = 281,500/x
3. Step 3: Cross multiply
   150,212x = 281,500 × 281,500
4. Step 4: Simplify right side
   150,212x = 79,242,250,000
5. Step 5: Solve for x
   x = 79,242,250,000/150,212
6. Step 6: Final answer
   x = 527,536.08