Finding the Third Proportional to 86,236 and 188,502

Step by Step Solution

1. Step 1: Write the proportion equation
   86,236 : 188,502 = 188,502 : x
2. Step 2: Convert to fraction form
   86,236/188,502 = 188,502/x
3. Step 3: Cross multiply
   86,236x = 188,502 × 188,502
4. Step 4: Simplify right side
   86,236x = 35,533,004,004
5. Step 5: Solve for x
   x = 35,533,004,004/86,236
6. Step 6: Final answer
   x = 412,043.74