Finding the Third Proportional to 86,804 and 190,256

Step by Step Solution

1. Step 1: Write the proportion equation
   86,804 : 190,256 = 190,256 : x
2. Step 2: Convert to fraction form
   86,804/190,256 = 190,256/x
3. Step 3: Cross multiply
   86,804x = 190,256 × 190,256
4. Step 4: Simplify right side
   86,804x = 36,197,345,536
5. Step 5: Solve for x
   x = 36,197,345,536/86,804
6. Step 6: Final answer
   x = 417,000.89