Finding the Third Proportional to 40,344 and 85,494

Step by Step Solution

1. Step 1: Write the proportion equation
   40,344 : 85,494 = 85,494 : x
2. Step 2: Convert to fraction form
   40,344/85,494 = 85,494/x
3. Step 3: Cross multiply
   40,344x = 85,494 × 85,494
4. Step 4: Simplify right side
   40,344x = 7,309,224,036
5. Step 5: Solve for x
   x = 7,309,224,036/40,344
6. Step 6: Final answer
   x = 181,172.52