Finding the Third Proportional to 40,624 and 82,362

Step by Step Solution

1. Step 1: Write the proportion equation
   40,624 : 82,362 = 82,362 : x
2. Step 2: Convert to fraction form
   40,624/82,362 = 82,362/x
3. Step 3: Cross multiply
   40,624x = 82,362 × 82,362
4. Step 4: Simplify right side
   40,624x = 6,783,499,044
5. Step 5: Solve for x
   x = 6,783,499,044/40,624
6. Step 6: Final answer
   x = 166,982.55