Finding the Third Proportional to 86,228 and 188,500

Step by Step Solution

1. Step 1: Write the proportion equation
   86,228 : 188,500 = 188,500 : x
2. Step 2: Convert to fraction form
   86,228/188,500 = 188,500/x
3. Step 3: Cross multiply
   86,228x = 188,500 × 188,500
4. Step 4: Simplify right side
   86,228x = 35,532,250,000
5. Step 5: Solve for x
   x = 35,532,250,000/86,228
6. Step 6: Final answer
   x = 412,073.22