Finding the Third Proportional to 93,828 and 206,856

Step by Step Solution

1. Step 1: Write the proportion equation
   93,828 : 206,856 = 206,856 : x
2. Step 2: Convert to fraction form
   93,828/206,856 = 206,856/x
3. Step 3: Cross multiply
   93,828x = 206,856 × 206,856
4. Step 4: Simplify right side
   93,828x = 42,789,404,736
5. Step 5: Solve for x
   x = 42,789,404,736/93,828
6. Step 6: Final answer
   x = 456,040.89