Finding the Third Proportional to 40,610 and 82,336

Step by Step Solution

1. Step 1: Write the proportion equation
   40,610 : 82,336 = 82,336 : x
2. Step 2: Convert to fraction form
   40,610/82,336 = 82,336/x
3. Step 3: Cross multiply
   40,610x = 82,336 × 82,336
4. Step 4: Simplify right side
   40,610x = 6,779,216,896
5. Step 5: Solve for x
   x = 6,779,216,896/40,610
6. Step 6: Final answer
   x = 166,934.67