Finding the Third Proportional to 116,960 and 253,792

Step by Step Solution

1. Step 1: Write the proportion equation
   116,960 : 253,792 = 253,792 : x
2. Step 2: Convert to fraction form
   116,960/253,792 = 253,792/x
3. Step 3: Cross multiply
   116,960x = 253,792 × 253,792
4. Step 4: Simplify right side
   116,960x = 64,410,379,264
5. Step 5: Solve for x
   x = 64,410,379,264/116,960
6. Step 6: Final answer
   x = 550,704.34