Finding the Third Proportional to 76,704 and 179,296

Step by Step Solution

1. Step 1: Write the proportion equation
   76,704 : 179,296 = 179,296 : x
2. Step 2: Convert to fraction form
   76,704/179,296 = 179,296/x
3. Step 3: Cross multiply
   76,704x = 179,296 × 179,296
4. Step 4: Simplify right side
   76,704x = 32,147,055,616
5. Step 5: Solve for x
   x = 32,147,055,616/76,704
6. Step 6: Final answer
   x = 419,105.34