Finding the Third Proportional to 105,264 and 230,919

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 230,919 = 230,919 : x
2. Step 2: Convert to fraction form
   105,264/230,919 = 230,919/x
3. Step 3: Cross multiply
   105,264x = 230,919 × 230,919
4. Step 4: Simplify right side
   105,264x = 53,323,584,561
5. Step 5: Solve for x
   x = 53,323,584,561/105,264
6. Step 6: Final answer
   x = 506,570.00