Finding the Third Proportional to 105,264 and 231,264

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 231,264 = 231,264 : x
2. Step 2: Convert to fraction form
   105,264/231,264 = 231,264/x
3. Step 3: Cross multiply
   105,264x = 231,264 × 231,264
4. Step 4: Simplify right side
   105,264x = 53,483,037,696
5. Step 5: Solve for x
   x = 53,483,037,696/105,264
6. Step 6: Final answer
   x = 508,084.79