Finding the Third Proportional to 80,005 and 185,216

Step by Step Solution

1. Step 1: Write the proportion equation
   80,005 : 185,216 = 185,216 : x
2. Step 2: Convert to fraction form
   80,005/185,216 = 185,216/x
3. Step 3: Cross multiply
   80,005x = 185,216 × 185,216
4. Step 4: Simplify right side
   80,005x = 34,304,966,656
5. Step 5: Solve for x
   x = 34,304,966,656/80,005
6. Step 6: Final answer
   x = 428,785.28