Finding the Third Proportional to 80,118 and 185,469

Step by Step Solution

1. Step 1: Write the proportion equation
   80,118 : 185,469 = 185,469 : x
2. Step 2: Convert to fraction form
   80,118/185,469 = 185,469/x
3. Step 3: Cross multiply
   80,118x = 185,469 × 185,469
4. Step 4: Simplify right side
   80,118x = 34,398,749,961
5. Step 5: Solve for x
   x = 34,398,749,961/80,118
6. Step 6: Final answer
   x = 429,351.08