Finding the Third Proportional to 40,344 and 85,488

Step by Step Solution

1. Step 1: Write the proportion equation
   40,344 : 85,488 = 85,488 : x
2. Step 2: Convert to fraction form
   40,344/85,488 = 85,488/x
3. Step 3: Cross multiply
   40,344x = 85,488 × 85,488
4. Step 4: Simplify right side
   40,344x = 7,308,198,144
5. Step 5: Solve for x
   x = 7,308,198,144/40,344
6. Step 6: Final answer
   x = 181,147.09