Finding the Third Proportional to 116,792 and 264,764

Step by Step Solution

1. Step 1: Write the proportion equation
   116,792 : 264,764 = 264,764 : x
2. Step 2: Convert to fraction form
   116,792/264,764 = 264,764/x
3. Step 3: Cross multiply
   116,792x = 264,764 × 264,764
4. Step 4: Simplify right side
   116,792x = 70,099,975,696
5. Step 5: Solve for x
   x = 70,099,975,696/116,792
6. Step 6: Final answer
   x = 600,212.14