Finding the Third Proportional to 114,792 and 243,264

Step by Step Solution

1. Step 1: Write the proportion equation
   114,792 : 243,264 = 243,264 : x
2. Step 2: Convert to fraction form
   114,792/243,264 = 243,264/x
3. Step 3: Cross multiply
   114,792x = 243,264 × 243,264
4. Step 4: Simplify right side
   114,792x = 59,177,373,696
5. Step 5: Solve for x
   x = 59,177,373,696/114,792
6. Step 6: Final answer
   x = 515,518.27