Finding the Third Proportional to 80,005.50 and 185,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,005.50 : 185,218.50 = 185,218.50 : x
2. Step 2: Convert to fraction form
   80,005.50/185,218.50 = 185,218.50/x
3. Step 3: Cross multiply
   80,005.50x = 185,218.50 × 185,218.50
4. Step 4: Simplify right side
   80,005.50x = 34,305,892,742.25
5. Step 5: Solve for x
   x = 34,305,892,742.25/80,005.50
6. Step 6: Final answer
   x = 428,794.18