Finding the Third Proportional to 36,161 and 78,404

Step by Step Solution

1. Step 1: Write the proportion equation
   36,161 : 78,404 = 78,404 : x
2. Step 2: Convert to fraction form
   36,161/78,404 = 78,404/x
3. Step 3: Cross multiply
   36,161x = 78,404 × 78,404
4. Step 4: Simplify right side
   36,161x = 6,147,187,216
5. Step 5: Solve for x
   x = 6,147,187,216/36,161
6. Step 6: Final answer
   x = 169,994.95