Finding the Third Proportional to 86,256 and 188,550

Step by Step Solution

1. Step 1: Write the proportion equation
   86,256 : 188,550 = 188,550 : x
2. Step 2: Convert to fraction form
   86,256/188,550 = 188,550/x
3. Step 3: Cross multiply
   86,256x = 188,550 × 188,550
4. Step 4: Simplify right side
   86,256x = 35,551,102,500
5. Step 5: Solve for x
   x = 35,551,102,500/86,256
6. Step 6: Final answer
   x = 412,158.02