Finding the Third Proportional to 50,307 and 76,677

Step by Step Solution

1. Step 1: Write the proportion equation
   50,307 : 76,677 = 76,677 : x
2. Step 2: Convert to fraction form
   50,307/76,677 = 76,677/x
3. Step 3: Cross multiply
   50,307x = 76,677 × 76,677
4. Step 4: Simplify right side
   50,307x = 5,879,362,329
5. Step 5: Solve for x
   x = 5,879,362,329/50,307
6. Step 6: Final answer
   x = 116,869.67