Finding the Third Proportional to 76,467 and 179,910

Step by Step Solution

1. Step 1: Write the proportion equation
   76,467 : 179,910 = 179,910 : x
2. Step 2: Convert to fraction form
   76,467/179,910 = 179,910/x
3. Step 3: Cross multiply
   76,467x = 179,910 × 179,910
4. Step 4: Simplify right side
   76,467x = 32,367,608,100
5. Step 5: Solve for x
   x = 32,367,608,100/76,467
6. Step 6: Final answer
   x = 423,288.58