Finding the Third Proportional to 178,508 and 276,404

Step by Step Solution

1. Step 1: Write the proportion equation
   178,508 : 276,404 = 276,404 : x
2. Step 2: Convert to fraction form
   178,508/276,404 = 276,404/x
3. Step 3: Cross multiply
   178,508x = 276,404 × 276,404
4. Step 4: Simplify right side
   178,508x = 76,399,171,216
5. Step 5: Solve for x
   x = 76,399,171,216/178,508
6. Step 6: Final answer
   x = 427,987.38