Finding the Third Proportional to 269,892 and 384,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,892 : 384,466.50 = 384,466.50 : x
2. Step 2: Convert to fraction form
   269,892/384,466.50 = 384,466.50/x
3. Step 3: Cross multiply
   269,892x = 384,466.50 × 384,466.50
4. Step 4: Simplify right side
   269,892x = 147,814,489,622.25
5. Step 5: Solve for x
   x = 147,814,489,622.25/269,892
6. Step 6: Final answer
   x = 547,680.14