Finding the Third Proportional to 80,118 and 185,467

Step by Step Solution

1. Step 1: Write the proportion equation
   80,118 : 185,467 = 185,467 : x
2. Step 2: Convert to fraction form
   80,118/185,467 = 185,467/x
3. Step 3: Cross multiply
   80,118x = 185,467 × 185,467
4. Step 4: Simplify right side
   80,118x = 34,398,008,089
5. Step 5: Solve for x
   x = 34,398,008,089/80,118
6. Step 6: Final answer
   x = 429,341.82