Finding the Third Proportional to 86,228 and 188,492

Step by Step Solution

1. Step 1: Write the proportion equation
   86,228 : 188,492 = 188,492 : x
2. Step 2: Convert to fraction form
   86,228/188,492 = 188,492/x
3. Step 3: Cross multiply
   86,228x = 188,492 × 188,492
4. Step 4: Simplify right side
   86,228x = 35,529,234,064
5. Step 5: Solve for x
   x = 35,529,234,064/86,228
6. Step 6: Final answer
   x = 412,038.25