Finding the Third Proportional to 37,792 and 82,244

Step by Step Solution

1. Step 1: Write the proportion equation
   37,792 : 82,244 = 82,244 : x
2. Step 2: Convert to fraction form
   37,792/82,244 = 82,244/x
3. Step 3: Cross multiply
   37,792x = 82,244 × 82,244
4. Step 4: Simplify right side
   37,792x = 6,764,075,536
5. Step 5: Solve for x
   x = 6,764,075,536/37,792
6. Step 6: Final answer
   x = 178,981.68