Finding the Third Proportional to 105,793 and 230,578

Step by Step Solution

1. Step 1: Write the proportion equation
   105,793 : 230,578 = 230,578 : x
2. Step 2: Convert to fraction form
   105,793/230,578 = 230,578/x
3. Step 3: Cross multiply
   105,793x = 230,578 × 230,578
4. Step 4: Simplify right side
   105,793x = 53,166,214,084
5. Step 5: Solve for x
   x = 53,166,214,084/105,793
6. Step 6: Final answer
   x = 502,549.45