Finding the Third Proportional to 37,198 and 77,404

Step by Step Solution

1. Step 1: Write the proportion equation
   37,198 : 77,404 = 77,404 : x
2. Step 2: Convert to fraction form
   37,198/77,404 = 77,404/x
3. Step 3: Cross multiply
   37,198x = 77,404 × 77,404
4. Step 4: Simplify right side
   37,198x = 5,991,379,216
5. Step 5: Solve for x
   x = 5,991,379,216/37,198
6. Step 6: Final answer
   x = 161,067.24