Finding the Third Proportional to 82,382 and 192,010

Step by Step Solution

1. Step 1: Write the proportion equation
   82,382 : 192,010 = 192,010 : x
2. Step 2: Convert to fraction form
   82,382/192,010 = 192,010/x
3. Step 3: Cross multiply
   82,382x = 192,010 × 192,010
4. Step 4: Simplify right side
   82,382x = 36,867,840,100
5. Step 5: Solve for x
   x = 36,867,840,100/82,382
6. Step 6: Final answer
   x = 447,523.00