Finding the Third Proportional to 40,138 and 85,456

Step by Step Solution

1. Step 1: Write the proportion equation
   40,138 : 85,456 = 85,456 : x
2. Step 2: Convert to fraction form
   40,138/85,456 = 85,456/x
3. Step 3: Cross multiply
   40,138x = 85,456 × 85,456
4. Step 4: Simplify right side
   40,138x = 7,302,727,936
5. Step 5: Solve for x
   x = 7,302,727,936/40,138
6. Step 6: Final answer
   x = 181,940.50