Finding the Third Proportional to 86,298.50 and 188,286

Step by Step Solution

1. Step 1: Write the proportion equation
   86,298.50 : 188,286 = 188,286 : x
2. Step 2: Convert to fraction form
   86,298.50/188,286 = 188,286/x
3. Step 3: Cross multiply
   86,298.50x = 188,286 × 188,286
4. Step 4: Simplify right side
   86,298.50x = 35,451,617,796
5. Step 5: Solve for x
   x = 35,451,617,796/86,298.50
6. Step 6: Final answer
   x = 410,802.25