Finding the Third Proportional to 40,596 and 82,308

Step by Step Solution

1. Step 1: Write the proportion equation
   40,596 : 82,308 = 82,308 : x
2. Step 2: Convert to fraction form
   40,596/82,308 = 82,308/x
3. Step 3: Cross multiply
   40,596x = 82,308 × 82,308
4. Step 4: Simplify right side
   40,596x = 6,774,606,864
5. Step 5: Solve for x
   x = 6,774,606,864/40,596
6. Step 6: Final answer
   x = 166,878.68