Finding the Third Proportional to 40,468 and 82,540

Step by Step Solution

1. Step 1: Write the proportion equation
   40,468 : 82,540 = 82,540 : x
2. Step 2: Convert to fraction form
   40,468/82,540 = 82,540/x
3. Step 3: Cross multiply
   40,468x = 82,540 × 82,540
4. Step 4: Simplify right side
   40,468x = 6,812,851,600
5. Step 5: Solve for x
   x = 6,812,851,600/40,468
6. Step 6: Final answer
   x = 168,351.58