Finding the Third Proportional to 85,072 and 186,256

Step by Step Solution

1. Step 1: Write the proportion equation
   85,072 : 186,256 = 186,256 : x
2. Step 2: Convert to fraction form
   85,072/186,256 = 186,256/x
3. Step 3: Cross multiply
   85,072x = 186,256 × 186,256
4. Step 4: Simplify right side
   85,072x = 34,691,297,536
5. Step 5: Solve for x
   x = 34,691,297,536/85,072
6. Step 6: Final answer
   x = 407,787.49