Finding the Third Proportional to 40,626 and 82,366

Step by Step Solution

1. Step 1: Write the proportion equation
   40,626 : 82,366 = 82,366 : x
2. Step 2: Convert to fraction form
   40,626/82,366 = 82,366/x
3. Step 3: Cross multiply
   40,626x = 82,366 × 82,366
4. Step 4: Simplify right side
   40,626x = 6,784,157,956
5. Step 5: Solve for x
   x = 6,784,157,956/40,626
6. Step 6: Final answer
   x = 166,990.55