Finding the Third Proportional to 42,304 and 91,682

Step by Step Solution

1. Step 1: Write the proportion equation
   42,304 : 91,682 = 91,682 : x
2. Step 2: Convert to fraction form
   42,304/91,682 = 91,682/x
3. Step 3: Cross multiply
   42,304x = 91,682 × 91,682
4. Step 4: Simplify right side
   42,304x = 8,405,589,124
5. Step 5: Solve for x
   x = 8,405,589,124/42,304
6. Step 6: Final answer
   x = 198,694.90