Finding the Third Proportional to 86,716 and 187,256

Step by Step Solution

1. Step 1: Write the proportion equation
   86,716 : 187,256 = 187,256 : x
2. Step 2: Convert to fraction form
   86,716/187,256 = 187,256/x
3. Step 3: Cross multiply
   86,716x = 187,256 × 187,256
4. Step 4: Simplify right side
   86,716x = 35,064,809,536
5. Step 5: Solve for x
   x = 35,064,809,536/86,716
6. Step 6: Final answer
   x = 404,363.78