Finding the Third Proportional to 105,290 and 230,264

Step by Step Solution

1. Step 1: Write the proportion equation
   105,290 : 230,264 = 230,264 : x
2. Step 2: Convert to fraction form
   105,290/230,264 = 230,264/x
3. Step 3: Cross multiply
   105,290x = 230,264 × 230,264
4. Step 4: Simplify right side
   105,290x = 53,021,509,696
5. Step 5: Solve for x
   x = 53,021,509,696/105,290
6. Step 6: Final answer
   x = 503,575.93