Finding the Third Proportional to 50,792 and 77,321

Step by Step Solution

1. Step 1: Write the proportion equation
   50,792 : 77,321 = 77,321 : x
2. Step 2: Convert to fraction form
   50,792/77,321 = 77,321/x
3. Step 3: Cross multiply
   50,792x = 77,321 × 77,321
4. Step 4: Simplify right side
   50,792x = 5,978,537,041
5. Step 5: Solve for x
   x = 5,978,537,041/50,792
6. Step 6: Final answer
   x = 117,706.27