Finding the Third Proportional to 37,778 and 82,804

Step by Step Solution

1. Step 1: Write the proportion equation
   37,778 : 82,804 = 82,804 : x
2. Step 2: Convert to fraction form
   37,778/82,804 = 82,804/x
3. Step 3: Cross multiply
   37,778x = 82,804 × 82,804
4. Step 4: Simplify right side
   37,778x = 6,856,502,416
5. Step 5: Solve for x
   x = 6,856,502,416/37,778
6. Step 6: Final answer
   x = 181,494.58