Finding the Third Proportional to 108,846 and 230,913

Step by Step Solution

1. Step 1: Write the proportion equation
   108,846 : 230,913 = 230,913 : x
2. Step 2: Convert to fraction form
   108,846/230,913 = 230,913/x
3. Step 3: Cross multiply
   108,846x = 230,913 × 230,913
4. Step 4: Simplify right side
   108,846x = 53,320,813,569
5. Step 5: Solve for x
   x = 53,320,813,569/108,846
6. Step 6: Final answer
   x = 489,873.89